Question

rationalise the denominator of following root 5 by 2 root 3

Answer 1

to rationalise the denominator we have to multiply the denominator in negative value to both numerator and denominator such that
√5/2√3×2√3/2√3=2√15/12

Answer 2

Answer: The value after rationalization is $\dfrac{\sqrt{15}}{6}$

Step-by-step explanation:

Since we have given that

$\dfrac{\sqrt{5}}{2\sqrt{3}}$

We need to rationalise the denominator:

$\dfrac{\sqrt{5}}{2\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}\\\\\\=\dfrac{\sqrt{15}}{2\times 3}\\\\\\=\dfrac{\sqrt{15}}{6}$

Hence, the value after rationalization is $\dfrac{\sqrt{15}}{6}$