document.write( "Question 176293This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been working on this math problem and I can't figure it out!! I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r
\n" ); document.write( "\n" ); document.write( "Properties of Radicals
\n" ); document.write( "Simplify.
\n" ); document.write( " $\"%284sqrt%283%29%29%2Fsqrt%2812%29\"$
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Algebra.Com's Answer #131372 by EMStelley(208) $\"\"$ $\"About$

You can put this solution on YOUR website!
Just to clarify, the problem is:
\n" ); document.write( " $\"4sqrt%283%29%2Fsqrt%2812%29\"$
\n" ); document.write( "Note that sqrt(3) is as simplified as its going to get, so let's concern ourselves with sqrt(12). Now, 12 can be written as 4*3, so that means that
\n" ); document.write( " $\"sqrt%2812%29=sqrt%284%2A3%29\"$
\n" ); document.write( "The properties of square roots tell us that sqrt(ab)=sqrt(a)sqrt(b), so
\n" ); document.write( " $\"sqrt%2812%29=sqrt%284%2A3%29=sqrt%284%29sqrt%283%29\"$
\n" ); document.write( "But sqrt(4)=2, so we can replace that, and thus we have
\n" ); document.write( " $\"4sqrt%283%29%2Fsqrt%2812%29=4sqrt%283%29%2F%282sqrt%283%29%29\"$
\n" ); document.write( "Now, 4/2=2, and the sqrt(3)'s cancel out, so all we are left with is 2!! \n" ); document.write( "

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