Question

Jamal simplified the expression StartRoot 75 x Superscript 5 Baseline y Superscript 8 Baseline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0.

StartRoot 75 x Superscript 5 Baseline y Superscript 8 Baseline EndRoot = StartRoot 25 times 3 times x Superscript 4 Baseline times x times y Superscript 8 Baseline EndRoot = 5 x squared y squared StartRoot 3 x EndRoot

Which describes the error Jamal made?
A. He should have written the square root of y Superscript 8 in the answer as y Superscript 4, not y squared.
B. He should have written the square root of x Superscript 4 in the answer as x, not x squared.
C. He should have written the 5 inside of the radical in the answer.
D. He should have written the 3 outside of the radical in the answer.

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

He should have written the square root of $\rm \sqrt{y^{8}}$   in the answer as   $\rm {y^{4}}$   not   y² ,The correct answer is Option A .

What is an Expression ?

An expression is a mathematical statement which is a combination of variables , constant and various mathematical operators like + , - , *  etc. All can be used simultaneously in an expression.

$\rm \sqrt{75x^5y^5} = \sqrt{25\times3\times x^{4} \times x\times y^8} = 5x^{2}y^{2}\sqrt{3x}$  are also expression

It is given in the question that Jamal Simplified the expression

$\rm \sqrt{75x^5y^5} = \sqrt{25\times3\times x^{4} \times x\times y^8} = 5x^{2}y^{2}\sqrt{3x}$

The mistake that he made is

The correct answer is Option A , He should have written the square root of $\rm \sqrt{y^{8}}$   in the answer as   $\rm {y^{4}}$   not   y² .

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