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Simplify sqrt(40) + sqrt(250), sqrt(2) + sqrt(2) + sqrt(7), and (sqrt(6) * sqrt(30)) / sqrt(5).

Question:

Simplify {eq}\sqrt{40}+\sqrt{250},\: \sqrt{2}+\sqrt{2}+\sqrt{7},\: and\, \frac{\sqrt{6}\sqrt{30}}{\sqrt{5}}. {/eq}

Simplifying Radical Expressions:

In mathematics, simplifying radical expressions involves rewriting a radical expression in simplest form. Often, this involves manipulating the radicals within the expression to create like radicals, so that we can combine them using the operations indicated.

Answer and Explanation:

Simplifying each of the radical expressions given gives the following:

  • {eq}\sqrt{40}+\sqrt{250}=7\sqrt{10} {/eq}
  • {eq}\sqrt{2}+\sqrt{2}+\sqrt{7}=2\sq...

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Learn more about this topic:

How to Simplify Radical Expressions With Addition
How to Simplify Radical Expressions With Addition

from Saxon Algebra 1 Homeschool: Online Textbook Help

Chapter 16 / Lesson 13
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