Simplify. Assume that the variable represents a nonnegative real number.

(Type an exact answer, using radicals as needed.)

Ask by Reyes Pritchard. in the United States

Mar 13,2025

Question

Simplify. Assume that the variable represents a nonnegative real number. $$ \sqrt{121 \mathrm{x}^{5}} $$ $$ \sqrt{121 \mathrm{x}^{5}}=\square $$ (Type an exact answer, using radicals as needed.)

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{121x^5} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt{121x^{5}}$$
- step1: Rewrite the exponent:
  $$\sqrt{11^{2}x^{4+1}}$$
- step2: Expand the expression:
  $$\sqrt{11^{2}x^{4}	imes x}$$
- step3: Use the properties of radicals:
  $$\sqrt{11^{2}x^{4}}	imes \sqrt{x}$$
- step4: Simplify the root:
  $$11x^{2}\sqrt{x}$$
The simplified form of $$ \sqrt{121x^5} $$ is $$ 11x^{2}\sqrt{x} $$.
$$ \sqrt{121x^5} = 11x^{2}\sqrt{x} $$

Simplify. Assume that the variable represents a nonnegative real number.

(Type an exact answer, using radicals as needed.)

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Simplify. Assume that the variable represents a nonnegative real number. (Type an exact answer, using radicals as needed.)