Question

find the value of a and b if √13-√5/√13+√5=a-b√65

Answer 1

Step-by-step explanation:

Given -

• √13-√5/√13+√5 = a - b√65

To Find -

• Value of a and b

Now,

Rationalising the denominator :-

→ √13-√5/√13+√5 × √13-√5/√13-√5

→ 13 - √65 - √65 + 5/13 - 5

→ 18 - 2√65/8

Now,

Comparing this to a-b√65

→ 18-2√65/8 = a-b√65

→ 18/8 - 2√65/8 = a - b√65

From here,

a = 18/8 and b = 2/8

Hence,

The value of a is 18/8 and b is 2/8.

Answer 2

don't know thanks for free points