Question

if 3+✓8/3-✓8 =a+b✓8 find the value of a and b​

Answer 1

Step-by-step explanation:

Given -

• 3 + √8/3 - √8 = a + b√8

To Find -

• Value of a and b

Now,

Rationalising the denominator :-

→ 3+√8/3-√8 × 3+√8/3+√8 = a+b√8

→ 9 + 8 + 6√8/9-8 = a + b√8

→ 17 + 6√8/1 = a + b√8

→ 17 + 6√8 = a + b√8

Now,

Value of a is 17

and

value of b is 6.