Question

write the rationalize factor

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Answer 1

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QUESTION :- Write the rationalize factor of $\frac{1}{{\sqrt{7} -\sqrt{4}}}$.

ANSWER :-

$\frac{1}{{\sqrt{7} -\sqrt{4}}}$

$= \frac{1}{{\sqrt{7} -\sqrt{4}}} \times \frac{\sqrt{7} + \sqrt{4}}{{\sqrt{7} + \sqrt{4}}} =\frac{\sqrt{7} + \sqrt{4}}{{7} - {4}}$

$= \frac{\sqrt{7} + \sqrt{4}}{{3}}$

→KNOW MORE

☞Rationalization is a process that finds application in elementary algebra, where it is used to eliminate the irrational number in the denominator.

☞By rationalizing, we make a denominator of a fraction as a rational number.