#1**0 **

Simplify the following:

sqrt(504)

Factor 504 under the radical sign.

sqrt(504) = sqrt(8×9×7) = sqrt(2^3×3^2×7):

sqrt(2^3 3^2 7)

Simplify powers.

sqrt(2^3 3^2 7) = sqrt(2^3) sqrt(3^2) sqrt(7) = 2^(3/2)×3^(2/2) sqrt(7) = 2 sqrt(2)×3 sqrt(7):

3×2 sqrt(2) sqrt(7)

Multiply 3 and 2 together.

3×2 = 6:

6 sqrt(2) sqrt(7)

For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(7).

sqrt(2) sqrt(7) = sqrt(2×7):

6 sqrt(2×7)

Multiply 2 and 7 together.

2×7 = 14:

**6 sqrt(14 )**

Guest Dec 26, 2017