/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 121 Explain how to simplify \(\sqrt{... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 121

Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\).

Short Answer

Expert verified
The simplified version of \( \sqrt{10} \cdot \sqrt{5} \) is \( \sqrt{50} \).

Step by step solution

01

Apply the property of square roots

According to the property of square roots, the expression \( \sqrt{10} \cdot \sqrt{5} \) can be re-written as \( \sqrt{10 \cdot 5} \).
02

Calculate the product

Now, find the product of 10 and 5, which gives 50. So the expression becomes \( \sqrt{50} \)
03

Simplifying the square root

The square root of 50 can't be simplified further, so this is the final answer.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Simplify by reducing the index of the radical. $$ \sqrt[6]{x^{4}} $$

Factor and simplify each algebraic expression. $$-8(4 x+3)^{-2}+10(5 x+1)(4 x+3)^{-1}$$

Factor completely. $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Determine whether each statement is trueor false. If the statement is false, make the necessary change(s) toproduce a true statement. \(x^{4}-16\) is factored completely as \(\left(x^{2}+4\right)\left(x^{2}-4\right)\)

Why must \(a\) and \(b\) represent nonnegative numbers when we write \(\sqrt{a} \cdot \sqrt{b}=\sqrt{a b} ?\) Is it necessary to use this restriction in the case of \(\sqrt[3]{a} \cdot \sqrt[3]{b}=\sqrt[3]{a b} ?\) Explain.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.