# Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 623: 38

-40/27

#### Work Step by Step

When we take the square root of a fraction, we take the square root of the numerator and of the denominator, allowing us to obtain: $-4 \sqrt {100/729} =-4 \sqrt{100}/ \sqrt{729}= -4 \times 10/27=-40/27$

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