Question

The rationalizing factor of
is

$\sqrt[n]{a \div b}$
​

Answer 1

Question :-

The rationalizing factor of

is $\sqrt[n]{a \div b}$

Solution :-

$\sqrt[n] {a \div b} = \sqrt[n] { \frac{a}{b} }$

Now rationalize the denominator by

$\sqrt[n] {b}$

Hence,

$\sqrt[n] { \frac{a}{b} } \times \frac{ \sqrt[n] {b} }{ \sqrt[n] {b} } = \frac{ \sqrt[n] {a} \times \sqrt[n] {b} }{b} = \frac{ \sqrt[n] {ab} }{b}$

Hint:-

$(\sqrt{n} ) {}^{2} = n$

Eg:-

• $(\sqrt{7} ) {}^{2} = 7$

Related term :-

• The factor of multiplication by which rationalization is done, is called as rationalizing factor.