Question

What would be the square root of 625 using the identity (a +b)2 = a2 + b2 + 2ab?​

Answer 1

Step-by-step explanation:

square root of 625 is 25.....

Answer 2

for the square root of 625....the variable 'a' must be equal to 'b' so

625=a^2+b^2+2ab

= a^2+a^2+2a^2

= 4a^2

implies a = b= 25/2 or -25/2

so we know (a+b) is the square root of 625 so 25/2 + 25/2 =25....which the required answer.

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