Question

Simplify square root of 88. Explain ur reasoning.

Answer 1

The square root of 88 is
`2√(22)`

Working:

As prime factorization of 88 is = 2³*11

here, 88 divides by 2, it becomes= 2*44

44 divides by 2 = 2*22, so 88 becomes 2*2*22

22 divides by 2 = 2*11, so 88 becomes 2*2*2*11

This gives us 2³*11

now, square root of this is:

`√(2*2*2*11)`

=
`\sqrt{2^(2)} *√(2*11)`

As,
`\sqrt{2^(2)}`=2

Final solution becomes:

`2√(2*11)`

=
`2√(22)`