Question

What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot

Answer 1

Answer: 10x^5y √6xy or B on edge

Explanation:

edge 2021

Answer 2

The value of the expression is
`10√(6)x^(3)y`.

Explanation:

The expression provided is:

`\sqrt{5x^(3)y}* \sqrt{10x^(3)}* √(12y)`

It is provided that x ≥ 0 and y ≥ 0.

Rules of exponent:

`a^(m)* a^(n)=a^(m+n)`

Compute the value of the expression as follows:

`\sqrt{5x^(3)y}* \sqrt{10x^(3)}* √(12y)=\sqrt{(5x^(3)y)* (10x^(3))* (12y)}`

`=\sqrt{(5* 10* 12)* (x^(3)* x^(3))* (y* y)}\\\\=\sqrt{600* x^(6)* y^(2)}\\\\=√(600)* \sqrt{x^(6)}* \sqrt{y^(2)}\\\\=10√(6)x^(3)y`

Thus, the value of the expression is
`10√(6)x^(3)y`.