Question

Evaluate each expression without using a calculator. $$2 \sqrt{81}$$

   Evaluate each expression without using a calculator.
$$2 \sqrt{81}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 5, Problem 58

Instant Answer

Solved by Expert Amy Jiang

07/20/2020

Step 1

The square root of 81 is 9 because 9*9 = 81. So, we have: $$\sqrt{81} = 9$$ Show more…

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Evaluate each expression without using a calculator. $$2 \sqrt{81}$$

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Key Concepts

Square Roots

Square roots are operations that determine a number which, when multiplied by itself, gives the original number. This concept is essential in evaluating and simplifying expressions that contain radicals.

Perfect Squares

Perfect squares are numbers that are the result of an integer multiplied by itself. Recognizing perfect squares, such as 81, allows one to simplify radical expressions by identifying the integer square root.

Arithmetic Operations

Arithmetic operations, like multiplication, are used to combine simplified numerical results. These operations ensure that expressions involving radicals are fully evaluated to obtain the final answer.

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