Question

raitonalise the denominator of 1 / (✓7-2)?​

Answer 1

Answer:

Step-by-step explanation:

1/√7-2 x √7+2 /√7+2

= √7+2 / (√7)²-(2)²

= √7+2 / 7-4

= √7+2/ 3 is the answer.

Answer 2

Hi there!

Your Answer :-

We multiply by the denominator to rationalize but the signs must be opposite.

GIVEN EXPRESSION :-

$\tt\red{ \dfrac{1}{ \sqrt{7} - 2} }$

SOLUTION :-

Multiply by √7-2 on both sides.

$\tt\blue{ \dfrac{1}{ \sqrt{7} - 2 } \times \dfrac{ \sqrt{7} + 2}{ \sqrt{7} + 2 } }$

$\tt\pink{ \dfrac{ \sqrt{7} +2}{ ({ \sqrt{7} )}^{2} - ({2})^{2} } }$

Using Identity.

$\tt\green{\dfrac{ \sqrt{7} + 2 }{7 - 4} }$

So, The Answer :-

$\tt\gray{\dfrac{ \sqrt{7} + 2 }{3} }$