Question

Jamal simplified the expression √75x^5y^8 where x≥ 0 and y≥0. √75x^5y^8 = √25 times 3 times x^4 times x times y^8 = 5x^2y^2 √3x Which describes the error Jamal made? He should have written the square root of in the answer as , not . He should have written the square root of in the answer as , not . He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. Mark this and return

Answer 1

He should have written the square root of y Superscript 8 in the answer as y Superscript 4, not y squared.

Explanation:

its A on Ed

Answer 2

He should have written the square root of
`y^8` in the answer as
`y^4`, not
`y^2`

Explanation:

We need to remember that:

`\sqrt[n]{x^n}=x`

The Product of powers property states that:

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

The Power of a power a property states that:

`(a^m)^n=a^((mn))`

Let's check the procedure made by Jamal to simplify the expression
`√(75x^5y^8 )` where
`x\geq0` and
`y\geq0`:

`=√(25*3*x^4*x*y^8)` (This is correct)

`5x^2y^2√(3x)` (Jamal made a mistake)

The correct procedure is:

`=√(25*3*x^4*x*y^8)`

`=5x^2y^4√(3x)`

Because:

`√(y^8)=√((y^4)^2)=y^4`

Therefore: He should have written the square root of
`y^8` in the answer as
`y^4`, not
`y^2`,