Question 1/3
Easy Mathematics
Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16
\(\sqrt{2}\) के प्रमाण में (p=2k) रखने के बाद \(p^2\) किसके बराबर होगा?
In the proof of \(\sqrt{2}\), after putting (p=2k), what is \(p^2\) equal to?
#squaring algebra
#sqrt2 proof
#class 10
A \(4k^2\)
B \(2k^2\)
C \(k^2+2\)
D (2k)
Explanation opens after your attempt
Correct Answer
A. \(4k^2\)
Step 1
Concept
(p=2k).
Step 2
Why this answer is correct
Squaring gives (p-2 =(2k)2 =4k-2 ).
Step 3
Exam Tip
Writing ((2k)2 ) as \(2k^2\) is a common mistake. चरण 1: (p=2k) है। चरण 2: दोनों ओर वर्ग करने पर (p-2 =(2k)2 =4k-2 )। चरण 3: ((2k)2 ) को \(2k^2\) लिखना आम गलती है।
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Question 2/3
Easy Mathematics
Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16
\(\sqrt{5}\) के प्रमाण में (p=5k) रखने के बाद \(p^2\) किसके बराबर होगा?
In the proof of \(\sqrt{5}\), after putting (p=5k), what is \(p^2\) equal to?
#squaring algebra
#sqrt5 proof
#class 10
A \(25k^2\)
B \(10k^2\)
C \(5k^2\)
D \(k^2+5\)
Explanation opens after your attempt
Correct Answer
A. \(25k^2\)
Step 1
Concept
We have (p=5k).
Step 2
Why this answer is correct
Squaring gives (p-2 =(5k)2 =25k-2 ).
Step 3
Exam Tip
Do this simplification carefully in the proof of \(\sqrt{5}\). चरण 1: (p=5k) दिया है। चरण 2: वर्ग करने पर (p-2 =(5k)2 =25k-2 )। चरण 3: \(\sqrt{5}\) के प्रमाण में यह सरलीकरण ध्यान से करें।
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Question 3/3
Easy Mathematics
Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16
\(\sqrt{3}\) के प्रमाण में (p=3k) रखने के बाद \(p^2\) किसके बराबर होगा?
In the proof of \(\sqrt{3}\), after putting (p=3k), what is \(p^2\) equal to?
#squaring algebra
#sqrt3 proof
#class 10
A \(9k^2\)
B \(3k^2\)
C (6k)
D \(k^2+3\)
Explanation opens after your attempt
Correct Answer
A. \(9k^2\)
Step 1
Concept
(p=3k).
Step 2
Why this answer is correct
Squaring gives (p-2 =(3k)2 =9k-2 ).
Step 3
Exam Tip
Do not forget to square the coefficient also. चरण 1: (p=3k) है। चरण 2: वर्ग करने पर (p-2 =(3k)2 =9k-2 )। चरण 3: गुणांक का भी वर्ग करना न भूलें।
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