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( \(4+\sqrt{3}\)2 ) का विस्तार क्या है?
What is the expansion of ( \(4+\sqrt{3}\)2 )?
#real numbers
#identity
#surd square
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A \(19+8\sqrt{3}\)
B \(13+4\sqrt{3}\)
C \(16+3\sqrt{4}\)
D \(7+8\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(19+8\sqrt{3}\)
Step 1
Concept
Use ( (a+b)2 ). Here \(16+8\sqrt{3}+3=19+8\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(19+8\sqrt{3}\). Use ( (a+b)2 ). Here \(16+8\sqrt{3}+3=19+8\sqrt{3}\).
Step 3
Exam Tip
( (a+b)2 ) का प्रयोग करें। यहाँ \(16+8\sqrt{3}+3=19+8\sqrt{3}\) मिलता है।
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( \(5+\sqrt{17}\)\(5-\sqrt{17}\) ) का मान क्या है?
What is the value of ( \(5+\sqrt{17}\)\(5-\sqrt{17}\) )?
#real numbers
#conjugate
#difference of squares
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A (42)
B (8)
C \(25+\sqrt{17}\)
D \(25-\sqrt{17}\)
Explanation opens after your attempt
Step 1
Concept
This is conjugate multiplication. (52 -\(\sqrt{17}\)2 =25-17=8).
Step 2
Why this answer is correct
The correct answer is B. (8). This is conjugate multiplication. (52 -\(\sqrt{17}\)2 =25-17=8).
Step 3
Exam Tip
यह संयुग्मी गुणन है। (52 -\(\sqrt{17}\)2 =25-17=8) होगा।
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\( \sqrt{32}\times\sqrt{50} \) का मान क्या है?
What is the value of \( \sqrt{32}\times\sqrt{50} \)?
#real numbers
#surd multiplication
#perfect square
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A (40)
B (80)
C \(20\sqrt{2}\)
D \( \sqrt{82} \)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{32}\times\sqrt{50}=\sqrt{1600}=40 \). In radical multiplication, multiply the radicands.
Step 2
Why this answer is correct
The correct answer is A. (40). \( \sqrt{32}\times\sqrt{50}=\sqrt{1600}=40 \). In radical multiplication, multiply the radicands.
Step 3
Exam Tip
\( \sqrt{32}\times\sqrt{50}=\sqrt{1600}=40 \)। करणी गुणन में अंदर की संख्याएँ गुणा करें।
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\( \sqrt{180}\div\sqrt{20} \) का मान क्या है?
What is the value of \( \sqrt{180}\div\sqrt{20} \)?
#real numbers
#surd division
#square root
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A (9)
B (3)
C \( \sqrt{160} \)
D (6)
Explanation opens after your attempt
Step 1
Concept
\( \frac{\sqrt{180}}{\sqrt{20}}=\sqrt{9}=3 \). In division of square roots, divide the radicands.
Step 2
Why this answer is correct
The correct answer is B. (3). \( \frac{\sqrt{180}}{\sqrt{20}}=\sqrt{9}=3 \). In division of square roots, divide the radicands.
Step 3
Exam Tip
\( \frac{\sqrt{180}}{\sqrt{20}}=\sqrt{9}=3 \)। वर्गमूल के भाग में अंदर की संख्याओं का भाग लें।
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\( \sqrt{1.69}+\sqrt{0.09} \) का मान क्या है?
What is the value of \( \sqrt{1.69}+\sqrt{0.09} \)?
#real numbers
#decimal square root
#addition
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A (1.6)
B (1.9)
C (2.2)
D (1.3)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{1.69}=1.3 \) and \( \sqrt{0.09}=0.3 \). The sum is (1.6).
Step 2
Why this answer is correct
The correct answer is A. (1.6). \( \sqrt{1.69}=1.3 \) and \( \sqrt{0.09}=0.3 \). The sum is (1.6).
Step 3
Exam Tip
\( \sqrt{1.69}=1.3 \) और \( \sqrt{0.09}=0.3 \) है। योग (1.6) होगा।
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\( \sqrt{\frac{16}{25}}+\sqrt{\frac{9}{64}} \) का मान क्या है?
What is the value of \( \sqrt{\frac{16}{25}}+\sqrt{\frac{9}{64}} \)?
#real numbers
#fraction square roots
#addition
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A \( \frac{47}{40} \)
B \( \frac{17}{40} \)
C \( \frac{7}{13} \)
D \( \frac{31}{40} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{47}{40} \)
Step 1
Concept
The first term is \( \frac{4}{5} \) and the second is \( \frac{3}{8} \). The sum is \( \frac{32}{40}+\frac{15}{40}=\frac{47}{40} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{47}{40} \). The first term is \( \frac{4}{5} \) and the second is \( \frac{3}{8} \). The sum is \( \frac{32}{40}+\frac{15}{40}=\frac{47}{40} \).
Step 3
Exam Tip
पहला पद \( \frac{4}{5} \) और दूसरा \( \frac{3}{8} \) है। योग \( \frac{32}{40}+\frac{15}{40}=\frac{47}{40} \) है।
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\( \sqrt{\frac{81}{121}}-\sqrt{\frac{4}{49}} \) का मान क्या है?
What is the value of \( \sqrt{\frac{81}{121}}-\sqrt{\frac{4}{49}} \)?
#real numbers
#fraction roots
#subtraction
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A \( \frac{35}{77} \)
B \( \frac{41}{77} \)
C \( \frac{29}{77} \)
D \( \frac{23}{77} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{41}{77} \)
Step 1
Concept
\( \sqrt{\frac{81}{121}}=\frac{9}{11} \) and \( \sqrt{\frac{4}{49}}=\frac{2}{7} \). The difference is \( \frac{63}{77}-\frac{22}{77}=\frac{41}{77} \).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{41}{77} \). \( \sqrt{\frac{81}{121}}=\frac{9}{11} \) and \( \sqrt{\frac{4}{49}}=\frac{2}{7} \). The difference is \( \frac{63}{77}-\frac{22}{77}=\frac{41}{77} \).
Step 3
Exam Tip
\( \sqrt{\frac{81}{121}}=\frac{9}{11} \) और \( \sqrt{\frac{4}{49}}=\frac{2}{7} \) है। अंतर \( \frac{63}{77}-\frac{22}{77}=\frac{41}{77} \) है।
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\( \sqrt{68} \) किस दो पूर्णांकों के बीच है?
Between which two integers does \( \sqrt{68} \) lie?
#real numbers
#square root estimation
#number line
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A (6) और (7) / (6) and (7)
B (7) और (8) / (7) and (8)
C (8) और (9) / (8) and (9)
D (9) और (10) / (9) and (10)
Explanation opens after your attempt
Correct Answer
C. (8) और (9) / (8) and (9)
Step 1
Concept
\(8^2=64\) and \(9^2=81\), so \( \sqrt{68} \) lies between (8) and (9). Compare nearby perfect squares.
Step 2
Why this answer is correct
The correct answer is C. (8) और (9) / (8) and (9). \(8^2=64\) and \(9^2=81\), so \( \sqrt{68} \) lies between (8) and (9). Compare nearby perfect squares.
Step 3
Exam Tip
\(8^2=64\) और \(9^2=81\) है इसलिए \( \sqrt{68} \) (8) और (9) के बीच है। निकट पूर्ण वर्गों की तुलना करें।
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\( \sqrt{86} \) का स्थान किन दो पूर्णांकों के बीच होगा?
Between which two integers will \( \sqrt{86} \) lie?
#real numbers
#estimation
#roots
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A (7) और (8) / (7) and (8)
B (8) और (9) / (8) and (9)
C (9) और (10) / (9) and (10)
D (10) और (11) / (10) and (11)
Explanation opens after your attempt
Correct Answer
C. (9) और (10) / (9) and (10)
Step 1
Concept
\(9^2=81\) and \(10^2=100\), so \( \sqrt{86} \) lies between (9) and (10). Check the range by squaring.
Step 2
Why this answer is correct
The correct answer is C. (9) और (10) / (9) and (10). \(9^2=81\) and \(10^2=100\), so \( \sqrt{86} \) lies between (9) and (10). Check the range by squaring.
Step 3
Exam Tip
\(9^2=81\) और \(10^2=100\) है इसलिए \( \sqrt{86} \) (9) और (10) के बीच है। वर्ग करके सीमा जाँचें।
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\( |-\sqrt{64}+5| \) का मान क्या है?
What is the value of \( |-\sqrt{64}+5| \)?
#real numbers
#absolute value
#square root
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A (3)
B ( -3 )
C (13)
D (8)
Explanation opens after your attempt
Step 1
Concept
\( -\sqrt{64}+5=-8+5=-3 \) and ( |-3|=3 ). Absolute value gives distance.
Step 2
Why this answer is correct
The correct answer is A. (3). \( -\sqrt{64}+5=-8+5=-3 \) and ( |-3|=3 ). Absolute value gives distance.
Step 3
Exam Tip
\( -\sqrt{64}+5=-8+5=-3 \) है और ( |-3|=3 )। निरपेक्ष मान दूरी देता है।
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