Question

if √18-16√5=√a-√b, then prove that a+b=18​

Answer 1

Answer:

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)