Multiply. Assume d is greater than or equal to zero, and write your answer in simplest form.
√(70d^5) · √(3d^2)

Question

Multiply. Assume d is greater than or equal to zero, and write your answer in simplest form. √(70d^5) · √(3d^2)

SnapAndSolve AI · Accepted Answer

To multiply the square roots, use the property √a · √b = √(a·b):

√(70d^5) · √(3d^2) = √(70d^5 · 3d^2) = √(210d^7).

Now, simplify √(210d^7):

√(210d^7) = √(210) · √(d^7).

√(210) cannot be simplified further as it has no perfect square factors.

√(d^7) = d^(7/2) = d^3 · √d.

So, the simplified form is:

√(210d^7) = d^3 · √(210d).

Multiply. Assume d is greater than or equal to zero, and write your answer in simplest form. √(70d^5) ·...