Question

4. If a+b√7=3+√7/3-√7 then the value of a and b are​

Answer 1

Answer :-

a = 8, b = 3

Solution :-

Refer to the attached picture

continuation of the attachment

a + b√7 = 8 + 3√7

Equating corresponig rational and irrational factors, We have

$a=8$

$b \sqrt{7}=3\sqrt{7}$

$b=3$

$\boxed{\sf{\bold{a=8,\:b=3}}}$

Identities used :-

(x + y)(x - y) = x² - y²

(x + y)² = x² + 2xy + y²

Extra info related to the question :

What is an equation?

An open sentence contains "=" sign is called an equation.

Example : x + 9 = 5

2x² + 3x + 8

What is an open sentence?

A sentence for which we cannot decide whether it is true or false.

What is rationalising factor?

If the product of two rational numbers is a rational number then each of the two is Rationlising factor of the other.