**Rationalize the Denominator** Simplify the following expression by rationalizing the denominator: \[ \frac{40}{5\sqrt{10} - 7\sqrt{5}} \] **Steps:** 1. Multiply the numerator and the denominator by the conjugate of the denominator: \(5\sqrt{10} + 7\sqrt{5}\). 2. Simplify your answer. Type an exact answer in the provided box.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Rationalize the Denominator**

Simplify the following expression by rationalizing the denominator:

\[
\frac{40}{5\sqrt{10} - 7\sqrt{5}}
\]

**Steps:**

1. Multiply the numerator and the denominator by the conjugate of the denominator: \(5\sqrt{10} + 7\sqrt{5}\).

2. Simplify your answer.

Type an exact answer in the provided box.
Transcribed Image Text:**Rationalize the Denominator** Simplify the following expression by rationalizing the denominator: \[ \frac{40}{5\sqrt{10} - 7\sqrt{5}} \] **Steps:** 1. Multiply the numerator and the denominator by the conjugate of the denominator: \(5\sqrt{10} + 7\sqrt{5}\). 2. Simplify your answer. Type an exact answer in the provided box.
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