document.write( "Question 401442: Add or subtract 4(the square root of)7 – 2(the square root of)7 + 4(the square root of)7. Simplify by collecting like radical terms if possible. \n" ); document.write( "

Algebra.Com's Answer #284496 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4sqrt%287%29-2sqrt%287%29%2B4sqrt%287%29\"$
\n" ); document.write( "Like radical terms are terms where the radical(s) all have the same index and radicand. (\"radicand\" is the expression inside a radical.) All of your terms are square roots (whose implied index is 2) so the indices are the same. And the radicands are all 7's. So all these terms are like radical terms.

\n" ); document.write( "To add or subtract like radical terms you just add or subtract the coefficients. It is just like adding/subtracting variable terms! So adding/subtracting
\n" ); document.write( " $\"4sqrt%287%29-2sqrt%287%29%2B4sqrt%287%29\"$
\n" ); document.write( "is just like adding/subtracting
\n" ); document.write( "4x - 2x + 4x
\n" ); document.write( "So just like
\n" ); document.write( "4x - 2x + 4x = 6x
\n" ); document.write( " $\"4sqrt%287%29-2sqrt%287%29%2B4sqrt%287%29+=+6sqrt%287%29\"$
\n" ); document.write( "Note then when adding/subtracting radical terms, nothing changes with the radicals. Only the coefficient get added/subtracted.
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