Question

Square root of 625 using the identity =(a+b) 2
a2+b2=2ab

Answer 1

Answer:

390625

Step-by-step explanation:

Therefore, the square of 625 using the identity (a + b)2 = a2 + b2 + 2ab is 390625

Hope it helps you...!

Answer 2

Answer:

Find the square of the following numbers using the identity (a−b)

2

=a

2

−2ab+b

2

:

999

Step-by-step explanation:

Decomposing the given number,

⇒ 999=1000−1 ---- ( 1 )

Here, a=1000 and b=1

Squaring both the sides of ( 1 ),

⇒ (999)

2

=(1000−1)

2

=(1000)

2

−2(1000)(1)+(1)

2

[ (a−b)

2

=a

2

−2ab+b

2

]

=1000000−2000+1

=998001

∴ (999)

2

=998001