Question

Rationalise :-
$\bf \frac{1}{\sqrt{3}-\sqrt{2} }$

Answer 1

1st step:

To rationalize any fraction, first you multiply the denominator to it's alternative operator.

2nd step:

Than that alternate operator, multiple both in numerator and denominator of the original or given fraction.

3rd step:

Than solve it, plz refer through above attachment.

Answer 2

Given,

• 1/(√3 - √2)

To Do,

• Rationalize The Following:

Solution,

→ 1/(√3 - √2)

→ 1/(√3 - √2) × (√3 + √2)/(√3 + √2)

→ 1 × (√3 + √2)/[(√3)² - (√2)²]

→ (√3 + √2)/(3 - 2)

→ (√3 + √2)/1

→ √3 + √2

Required Answer,

→ √3 + √2