Questions on Number System Class 9 SET 1

Q. 1 Prime Factorize and rationalize the denominator

$\frac{1}{\sqrt{108}-\sqrt{96}+\sqrt{192}-\sqrt{54}}$

Q. 2 Rationalize the denominator

$\frac{1}{\sqrt{3}-1}$

Q. 3 Rationalize the denominator

$\frac{7}{\sqrt{12}-\sqrt{5}}$

Q. 4 Rartionalize the denominator

$\frac{7}{8 + 3\sqrt{5}}$

Q. 5 Rationalize the denominator

$\frac{1}{4 + \sqrt{3} + \sqrt{6}}$

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