Simplify: (sqrt 81)^2 = _____

Apply inverse operations: We start with the expression (sqrt 81)^2. The square root and the square operation are inverse operations, so they cancel each other out, leaving us with the number under the square root. Calculate the expression: Calculating (sqrt 81)^2 gives us 81, because sqrt 81 is 9, and 9 squared is 81.

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Simplify: $\newline$ $(\sqrt{81})^2 =$ _____

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Math Problems

Grade 8

Relationship between squares and square roots

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Q. Simplify:

\newline

(\sqrt{81})^2 =

_____

Apply inverse operations: We start with the expression $(\sqrt{81})^2$ . The square root and the square operation are inverse operations, so they cancel each other out, leaving us with the number under the square root.
Calculate the expression: Calculating $(\sqrt{81})^2$ gives us $81$ , because $\sqrt{81}$ is $9$ , and $9$ squared is $81$ .