Question

Please help me with this

Answer 1

D. I did the math on my calculator

Answer 2

D.
`√(250)`

Explanation:

First, use prime factorization of 250 to get
`√(2*5^3)`

Then apply the exponent rule,
`a^(b+c) =a^(b)*a^(c)`

=
`√(2*5^2*5) }`

Apply radical rule:
`√(ab)= √(a) √(b), a\geq 0, b\geq 0`

=
`\sqrt{5^(2)} √(2*5)`

Apply radical rule:
`\sqrt{a^(2)} =a, a\geq 0`

=5
`√(2*5)`

=5
`√(10)`