What is the difference of 32√5−17√5 ?(1 point)

Responses

495–√
49 square root of 5

150–√
15 square root of 0

155–√
15 square root of 5

The radicals cannot be combined using subtraction.

1 answer

To find the difference of \( 32\sqrt{5} - 17\sqrt{5} \), we can combine the terms since they both have the same radical:

\[ 32\sqrt{5} - 17\sqrt{5} = (32 - 17)\sqrt{5} = 15\sqrt{5} \]

Therefore, the correct answer is:

15 square root of 5.