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

Answer:

the answer is a on edgenunity

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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 $\sqrt{75x^5y^8 }$ where $x\geq0$ and $y\geq0$:

$=\sqrt{25*3*x^4*x*y^8}$ (This is correct)

$5x^2y^2\sqrt{3x}$ (Jamal made a mistake)

The correct procedure is:

$=\sqrt{25*3*x^4*x*y^8}$

$=5x^2y^4\sqrt{3x}$

Because:

$\sqrt{y^8}=\sqrt{(y^4)^2}=y^4$

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