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

\(\frac{1}{4 + \sqrt{3} + \sqrt{6}} \)