Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Find the square root. Assume that the variable is unrestricted, and use absolute value symbols when necessary. (Simplify your answer completely)

Find The Square Root Assume That The Variable Is Unrestricted And Use Absolute Value Symbols When Necessary Simplify Your Answer Completely class=

Sagot :

We are given the following expression:

[tex]\sqrt[]{81x^2}[/tex]

To simplify this expression we will use the following property of radicals:

[tex]\sqrt[]{ab}=\sqrt[]{a}\sqrt[]{b}[/tex]

Applying the property we get:

[tex]\sqrt[]{81x^2}=\sqrt[]{81}\sqrt[]{x^2}[/tex]

Now, the first radical is equal to 9 since 9 x 9 = 81, therefore, we get:

[tex]\sqrt[]{81x^2}=\sqrt[]{81}\sqrt[]{x^2}=9\sqrt[]{x^2}[/tex]

For the second radical we will use the following property of absolute values:

[tex]\lvert x\rvert=\sqrt[]{x^2}[/tex]

Replacing we get:

[tex]\sqrt[]{81x^2}=\sqrt[]{81}\sqrt[]{x^2}=9\sqrt[]{x^2}=9\lvert x\rvert[/tex]

Therefore, the expression reduces to the product of 9 and the absolute value of "x".

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.