Question

rationalise the denominator of the following ​

Answer 1

$\tt{\frac{2\sqrt{3} }{\sqrt{5} }}$

The simplest rationalizing factor = √5 is √5

So, multiply numerator and denominator of the given fraction by √5

$\tt{ =\frac{2\sqrt{3} \times \sqrt{5} }{\sqrt{5} \times \sqrt{5}}}$

$\tt{=\frac{2\sqrt{3 \times 5} }{{(\sqrt{5})}^{2} }}$

$\tt{=\frac{2\sqrt{15} }{5} }$

$\tt{=\frac{2\sqrt{15} }{5} }$

$\boxed{\sf{\large{\frac{2\sqrt{3} }{\sqrt{5} } = \frac{2\sqrt{15} }{5}}}}}$

Answer 2

hope the answer helps u