another square root simplification

Question

0

712

1

3√8a¹²

Guest Oct 11, 2014

+23254

+5

Best Answer

To simplify √8 --> √8 = √4 · √2 = 2√2

To simplify √(a^12) --> A square root is an exponent of 1/2

√(a^12) --> (a^12)^(1/2) = a^6 (multiply exponents when you have a power to a power)

Putting this together: 3 · 2√2 · a^6 = 6√2 · a^6

geno3141 Oct 11, 2014

geno3141 · Answer 1 · 2014-10-11T07:01:32

To simplify √8 --> √8 = √4 · √2 = 2√2

To simplify √(a^12) --> A square root is an exponent of 1/2

√(a^12) --> (a^12)^(1/2) = a^6 (multiply exponents when you have a power to a power)

Putting this together: 3 · 2√2 · a^6 = 6√2 · a^6