Question

rationalise the denominator of 1/√5-√3???

Answer 1

Solution :

For rationalising the denominator we should multiply the numerator and the denominator by the denominator but firstly we should change the sign .

if the sign is (+) then change it into (-) if the sign is (-) then change it into (+).

›› 1/√5 - √3

• Multiply the numerator and denominator by √5 + √3

›› (1/√5 - √3) × (√5 + √3)/(√5 + √3)

›› (√5 + √3)/(√5 - √3)(√5 + √3)

›› (√5 + √3)/(√5² - √3²)

›› (√5 + √3)/(5 - 3)

›› (√5 + √3)/2

Answer 2

Answer:

The rationalization form of $\frac{1}{\sqrt{5} -\sqrt{3} }$ is $\frac{\sqrt{5} +\sqrt{3} }{2 }$

Step-by-step explanation:

Given:

$\frac{1}{\sqrt{5} -\sqrt{3} }$

We need to rationalize the denominator

So we take as

$=\frac{1}{\sqrt{5} -\sqrt{3} }*\frac{\sqrt{5} +\sqrt{3} }{\sqrt{5} +\sqrt{3} }\\\\=\frac{\sqrt{5} +\sqrt{3} }{5-3 }\\\\=\frac{\sqrt{5} +\sqrt{3} }{2 }$