Question

PLEASE HELP!! ITS DUE SOON

Loretta simplified the expression below as shown. Explain Loretta’s error and correct her works

(16m^2n^20)^1/2=8mn^10

Answer 1

Explanation:

Loretta's error is that she only took the square root of the coefficient 16, but forgot to take the square root of the variables m and n.

The correct solution is:

The square root of 16 is 4.

The square root of m^2 is m.

The square root of n^20 is n^10.

Putting it all together, we get:

√(16m^2n^20) = √16 * √(m^2) * √(n^20) = 4mn^10

Therefore, the correct answer is 4mn^10, not 8mn^10.