What is the value of the expression 5³√-27+4√25

669.51905283 or 375 √3 + 20

Step-by-step explanation:

Raise 5 to the power of 3

125√27 + 4√25

Rewrite 27 as 3²·3

Factor 9 out of 27

125√9 (3) + 4√25

Rewrite 9 as 3²

125√3²·3 + 4√25

Pull terms out from under the radical

125 (3√3) + 4√25

Multiply 3 by 125

375√3 + 4√25

Rewrite 25 as 5²

375√3 + 4√5²

Pull terms out from under the radical, assuming positive real numbers

375√3 + 4 · 5

Multiply 4 by 5

375 √3 + 20

Exact form: 375 √3 + 20

Decimal form: 669.51905283