Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 161-170 of 600 questions.
What is the rationalised form of \( \frac{4}{\sqrt{5}} \)?
A. \( \frac{4\sqrt{5}}{5} \)
अंश और हर को \( \sqrt{5} \) से गुणा करें। इससे हर (5) बनता है। / Multiply numerator and denominator by \( \sqrt{5} \). This makes the denominator (5).
Login to save your score, XP, coins and progress.
What is the rationalised form of \( \frac{7}{2\sqrt{3}} \)?
A. \( \frac{7\sqrt{3}}{6} \)
अंश और हर को \( \sqrt{3} \) से गुणा करने पर \( \frac{7\sqrt{3}}{6} \) मिलता है। हर में करणी हटनी चाहिए। / Multiplying numerator and denominator by \( \sqrt{3} \) gives \( \frac{7\sqrt{3}}{6} \). The radical should be removed from the denominator.
Login to save your score, XP, coins and progress.
What is the rationalised form of \( \frac{1}{\sqrt{6}+\sqrt{5}} \)?
A. \( \sqrt{6}-\sqrt{5} \)
संयुग्मी \( \sqrt{6}-\sqrt{5} \) से गुणा करें और हर (6-5=1) बनेगा। इसलिए उत्तर \( \sqrt{6}-\sqrt{5} \) है। / Multiply by the conjugate \( \sqrt{6}-\sqrt{5} \) and the denominator becomes (6-5=1). So the answer is \( \sqrt{6}-\sqrt{5} \).
Login to save your score, XP, coins and progress.
What is the rationalised form of \( \frac{1}{\sqrt{7}-\sqrt{3}} \)?
A. \( \frac{\sqrt{7}+\sqrt{3}}{4} \)
संयुग्मी \( \sqrt{7}+\sqrt{3} \) से गुणा करें। हर (7-3=4) मिलेगा। / Multiply by the conjugate \( \sqrt{7}+\sqrt{3} \). The denominator becomes (7-3=4).
Login to save your score, XP, coins and progress.
What is the simplified form of \( \sqrt{45}+\sqrt{80}-\sqrt{20} \)?
B. \(6\sqrt{5}\)
\( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), और \( \sqrt{20}=2\sqrt{5} \)। इसलिए \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) नहीं बल्कि \(5\sqrt{5}\) होगा। / \( \sqrt{45}=3\sqrt{5} \), \( \sqrt{80}=4\sqrt{5} \), and \( \sqrt{20}=2\sqrt{5} \). So the value is \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\).
Login to save your score, XP, coins and progress.
Choose the correct simplified form of \( \sqrt{45}+\sqrt{80}-\sqrt{20} \).
B. \(5\sqrt{5}\)
तीनों करणी को \( \sqrt{5} \) के पदों में बदलें। \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) सही है। / Convert all surds into terms of \( \sqrt{5} \). \(3\sqrt{5}+4\sqrt{5}-2\sqrt{5}=5\sqrt{5}\) is correct.
Login to save your score, XP, coins and progress.
What is the simplified form of \( \sqrt{28}+2\sqrt{63} \)?
B. \(8\sqrt{7}\)
\( \sqrt{28}=2\sqrt{7} \) और \(2\sqrt{63}=6\sqrt{7}\) है। योग \(8\sqrt{7}\) होगा। / \( \sqrt{28}=2\sqrt{7} \) and \(2\sqrt{63}=6\sqrt{7}\). The sum is \(8\sqrt{7}\).
Login to save your score, XP, coins and progress.
What is the simplified form of \(3\sqrt{27}-2\sqrt{12}\)?
A. \(5\sqrt{3}\)
\(3\sqrt{27}=9\sqrt{3}\) और \(2\sqrt{12}=4\sqrt{3}\) है। अंतर \(5\sqrt{3}\) मिलता है। / \(3\sqrt{27}=9\sqrt{3}\) and \(2\sqrt{12}=4\sqrt{3}\). The difference is \(5\sqrt{3}\).
Login to save your score, XP, coins and progress.
What is the value of \( \sqrt{27}\times\sqrt{12} \)?
A. (18)
\( \sqrt{27}\times\sqrt{12}=\sqrt{324}=18 \)। गुणा में करणी के अंदर की संख्याएँ गुणा करें। / \( \sqrt{27}\times\sqrt{12}=\sqrt{324}=18 \). In multiplication, multiply the numbers inside the radicals.
Login to save your score, XP, coins and progress.
What is the value of \( \sqrt{90}\div\sqrt{10} \)?
B. (3)
\( \frac{\sqrt{90}}{\sqrt{10}}=\sqrt{9}=3 \)। करणी भाग में अंदर की संख्याओं का भाग लें। / \( \frac{\sqrt{90}}{\sqrt{10}}=\sqrt{9}=3 \). In radical division, divide the radicands.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.