​ Find the value of 6/√5 - √3, it being given that √3 = 1.732 and √ 5= 2.236 ​

Question

Find the value of \(\frac{6}{\sqrt5-\sqrt3}\), it being given that √3 = 1.732 and √5= 2.236

Answer 1

\(\frac{6}{\sqrt5-\sqrt3}\) Rationalising factor for the denominator is √5 + √3

We have √3 = 1.732, √5 = 2.236

\(\frac{6}{\sqrt5-\sqrt3}\) = 3(2.236 + 1.732)

= 3(3.968)

= 11.904

∴value of \(\frac{6}{\sqrt5-\sqrt3}\) is 11.904