Question

Rationalize the denominator of 3 / root 7 - root 2

Answer 1

hope it helps you out

Answer 2

Answer:

The value is $\frac{3(\sqrt{7} + \sqrt{2} )}{5}$

Step-by-step explanation:

Given: number is $\frac{3(\sqrt{7}+\sqrt{2} )}{5}$

To find: rationalise value

Formula used: $\frac{a}{\sqrt{b} +\sqrt{c} }$ ×$\frac{\sqrt{b} - \sqrt{c} }{\sqrt{b} -\sqrt{c} }$

Solution:

$\frac{3}{\sqrt{7}-\sqrt{2} }$ ×$\frac{\sqrt{7} +\sqrt{2} }{\sqrt{7}+\sqrt{2} }$ [By applying above formula]

=> $\frac{3(\sqrt{7}+\sqrt{2}) }{7-2}$

=> $\frac{3(\sqrt{7}+\sqrt{2} )}{5}$

Hence, By rationalising the denominator of the given number, the value we get is $\frac{3(\sqrt{7}+\sqrt{2} )}{5}$. Ans

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