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Rationalisation

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is obtained after rationalising the denominator of \(\frac{1}{\sqrt{7}+\sqrt{5}}\)?Class 9Number SystemsReal NumbersExpert MathematicsWhat is the rationalised form of 3/(√17 + √8)?Class 9Number SystemsIrrational numbersMedium MathematicsIf r = 1/(√17 + 4), which is the simplified form of r?Class 9Number SystemsIrrational numbersMedium MathematicsIf r = 1/(√11 + 3), which is the simplified form of r?Class 9Number SystemsIrrational numbersMedium MathematicsA student claims that \(\frac{1}{\sqrt{5}+2}\) is a rational number because its numerator is 1. Which is the correct evaluation of this claim?Class 9Number SystemsIrrational numbersHard MathematicsIf x = 1/(√2 + 1), what is the value of x + √2?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the rationalised form of 1/(6 − √5)?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is obtained by rationalising 1/(√6 + 1)?Class 9Number SystemsIrrational numbersMedium MathematicsWhat is the value of (1/(3+√8)+1/(3−√8))?Class 9Number SystemsIrrational numbersHard MathematicsWhat is the value of (1/(√13+2)+1/(√13−2))?Class 9Number SystemsReal NumbersHard MathematicsIf \(x=4-\sqrt7\), what is \(\frac1x\)?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of \( \left(\frac{1}{\sqrt{7}-\sqrt{6}}\right)-\left(\frac{1}{\sqrt{7}+\sqrt{6}}\right) \)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of ((4+√7)/(4−√7)+(4−√7)/(4+√7))?Class 9Number SystemsReal NumbersHard MathematicsWhat is the rationalised form of ( \frac{5}{\sqrt{13}-\sqrt{8}} )?Class 9Number SystemsReal NumbersHard MathematicsWhat is the rationalised form of ( \frac{1}{4\sqrt{3}+3\sqrt{5}} )?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of 1/(2 + √3) + 1/(2 − √3)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of \(\frac{1}{\sqrt{11}+3}+\frac{1}{\sqrt{11}-3}\)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of 1/(√3 − √2) − 1/(√3 + √2)?Class 9Number SystemsReal NumbersHard MathematicsIf \(x=\sqrt5+2\), what is the value of \(x+\frac1x\)?Class 9Number SystemsReal NumbersMedium MathematicsIf \(x=3-\sqrt5\), what is \(\frac1x\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium