Expert Answer to "Express each radical expression in simplest radical form...."

bobbie71G

Answered question

2021-09-17

Express each radical expression in simplest radical form.

4 \sqrt{52 x^{3} y^{2}}

Talisha

Skilled2021-09-18Added 93 answers

We have to express the given radical expression in simplest radical form:

4 \sqrt{52 x^{3} y^{2}}

We know the exponents rule,

\sqrt{a \times a} = a

Simplifying the given radical expression,

4 \sqrt{53 x^{3} y^{2}} = 4 \sqrt{13 \times 4 x^{3} y^{2}}

= 4 \sqrt{13 \times 2 \times 2 \times x \times x \times x \times y \times y}

= 4 \times 2 \times x \times y \sqrt{13 \times x}

= 8 x y \sqrt{13 x}

Hence, simplified form of the given radical expression in simplest radical form is

8 x y \sqrt{13 x}

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