Question

if √8 - 6√5 = a - b prove that a + b =18 ​

Answer 1

Step-by-step explanation:

√a-√b=√(18-6√5)

Squaring both sides,

(√a-√b)²={√(18-6√5)}²

or, a+b-2√a√b=18-6√5

or, (a+b)-2√a√b=(15+3)-2.√15.√3

Comparing both sides we get,

a+b=15+3=18 (Proved)