Question

rationalize the denominator of 1/(3-2√2)​

Answer 1

Step-by-step explanation:

Given problem is 1 3-2√2

To rationalize, we multiply by conjugate of the denominator.

Conjugate is obtained by changing the

sign of radical term

So conjugate of 3 - 2√2 is 3+2√/2

Hence we multiply and divide by 3 + 2√2

1 3+2√/2

*

3-2√/2 3+2√/2

3+2√/2 (3-2√2)(3+2√/2)

3+2√2 (3)²-(2√/2)²

3+2√/2 9-(4*2)

3+2√/2 9-8

3+2√/2 1

= 3+2√/2

Hence final answer is 3+2√/2.

lublana. Ambitious

Answer 2

Answer:

Given problem is  

To rationalize, we multiply by conjugate of the denominator.

Conjugate is obtained by changing the sign of radical term

So conjugate of  is  

Hence we multiply and divide by  

Hence final answer is 1/(3-2√2)​