Question

Rationlize the denominator of 1/(√7-2) is

Answer 1

Step-by-step explanation:

ANSWER:-

$\frac{1}{ \sqrt{7 } - 2}$

$\frac{1}{ \sqrt{7} - 2 } \times \frac{ \sqrt{7} + 2}{ \sqrt{7} + 2 }$

$= \frac{ \sqrt{7} + 2}{ {( \sqrt{7} )}^{2} - ( {2})^{2} }$

$= \frac{ \sqrt{7} + 2 }{7 - 4}$

$= \frac{ \sqrt{7} + 2}{3}$

is the Rationalised answer.

What is Rationalisation?

• The process in which we convert a denominator which is complex to the simpler one
• Inverse signs are taken to satisfy the rules of Rationalisation

Things to Note

• Always take Inverse sign when being multiplied
• Maintain the roots of the equation
• Convert roots to simpler ones
• Rationalised answer must have denominator as a whole and not in roots on general.