Question

if a2+b2=60 and ab=2 find the value of a+b

Answer 1

a^2 + b^2 = 60


Add 2ab on both side,

a^2 + b^2 + 2ab = 60 + 2ab

( a + b)^2 = 60 + 2(2)

a + b = √64

a + b= 8



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Answer 2

Hey

Here is your answer,

Given that,

a^2 + b^2 = 60
ab = 2

By using the identity ( a+b )^2 = a^2 + b^2 + 2ab

( a+b )^2 = 60 + 2 x 2
( a+b )^2 = 60 + 4
( a+b )^2 = 64
a+b = √64
a+b = 8

Hope it helps you!