**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.
**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,...
Related questions
Question
100%
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc23ee739-9373-4ff1-9b65-1e44876ef0fd%2F83053981-1fba-48c2-9348-543bbe32e18e%2Fnslyohb.jpeg&w=3840&q=75)
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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education