document.write( "Question 491371: Can you please explain the whole process of how to simplify the square root of 20. I see that the answer is 2 square roots of 5. But how do I get this answer? \n" ); document.write( "

Algebra.Com's Answer #334597 by Theo(13342) $\"\"$ $\"About$

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basically, you factor the 20 into factors that you can take the square root of.
\n" ); document.write( "square root of (20) is equivalent to square root of (4 * 5)
\n" ); document.write( "since you know that the square root of 4 is equal to 2, then you can remove the 4 from under the square root sign and make it a 2 outside the square root sign.
\n" ); document.write( "you get square root of (20) = 2 * square root of (5).\r
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\n" ); document.write( "\n" ); document.write( "the principle involve is that the square root of (x^2) is equal to x.\r
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\n" ); document.write( "\n" ); document.write( "replace x with 2 in this example and you get the square root of (2^2) is equal to 2\r
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\n" ); document.write( "\n" ); document.write( "another principle involved is that the square root of (a * b) is equal to the square root of (a) times the square root of (b).\r
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\n" ); document.write( "\n" ); document.write( "this allows you to take square root of (4 * t) and make it into square root of (4) times the square root of (5).\r
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\n" ); document.write( "\n" ); document.write( "since you already know that the square root of (4) is equal to 2, then square root of (4) * square root of (5) becomes 2 * square root of (5).\r
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