Question

Simplify the expression. $$4 \sqrt{\frac{16}{4}}$$

   Simplify the expression.
$$4 \sqrt{\frac{16}{4}}$$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 9, Problem 30

Instant Answer

Solved by Expert Amy Jiang

08/29/2020

Step 1

We have $\frac{16}{4}$ which simplifies to 4. So, our expression becomes $4 \sqrt{4}$. Show more…

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Simplify the expression. $$4 \sqrt{\frac{16}{4}}$$

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Key Concepts

Simplification of Fractions

This involves reducing a fraction by dividing the numerator and the denominator by their greatest common divisor. Simplifying the fraction inside a radical can often reveal perfect squares, making further simplification easier.

Properties of Square Roots

Understanding how to take the square root of a number, especially when the radicand is a perfect square or can be simplified to one, is essential. This includes recognizing that the square root of a quotient is the quotient of the square roots, provided the denominator is not zero.

Multiplication of Constants and Simplified Expressions

After simplifying the radical expression, multiplying by any external constants is necessary to reach the final answer. This step combines the simplified radical with the constant factor using basic arithmetic rules.

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