Question

What is the simplified expression for (8√10) (8√5)?

a) 64√50
b) 64√15
c) 128√50
d) 128√15

Answer 1

To simplify the expression (8√10) (8√5), we multiply the numbers outside the square roots and the numbers inside the square roots separately. The final simplified expression is 64√50.

Step-by-step explanation:

To simplify the expression (8√10) (8√5), we need to multiply the numbers outside the square roots together and the numbers inside the square roots together separately. We get:

(8√10) (8√5) = 8*8 (√10 * √5)

Since 8*8 = 64, the expression simplifies to:

64(√10 * √5)

To further simplify, we can combine the square roots into a single root:

64(√(10*5))

10*5 = 50, so the final simplified expression is:

64√50