Question

1/ √9 - √8 is equal to
A. 3 + 2√2
B. 1/3 + 2√2
C. 3 - 2√2
D. 3/2 - √2

Answer 1

Given :  1/ √9 - √8  

 

To find : The value of 1/ √9 - √8  

Solution :  

We have , 1/ √9 - √8  

By Rationalizing denominator, we have  :

= 1 × (√9 +√8) / [(√9 - √8) × (√9 + √8)]

= (√9 + √8) / (√9)² -  (√8)²  

[We know that, (a + b) (a - b) = a² - b²]

= (√9 + √8)/(9 - 8)

= (√9 + √8 )/1

= √9 + √8

= 3 + 2√2

Hence , The value of 1/ √9 - √8 is 3 + 2√2.

Among the given options option (A) 3 + 2√2 is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

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Answer 2

Step-by-step explanation:

1/ √9 - √8 is equal to

A. 3 + 2√2

B. 1/3 + 2√2

C. 3 - 2√2

D. 3/2 - √2✔️