document.write( "Question 319731: Tell whether the statement is true or false. If it is false, give the correct answer and explain your answer. The easiest way to simplify the expression (fraction)
\n" ); document.write( "1 over 5 + the square root of 3 is to multiply both the numerator and denominator by 5 + square root of 3. \n" ); document.write( "
Algebra.Com's Answer #229024 by J2R2R(94)\"\" \"About 
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FALSE\r
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\n" ); document.write( "\n" ); document.write( "Whenever you have a surd of the form (a + root b) as the denominator (a surd is an expression of the form a + root b) it is always easiest to multiply numerator and denominator by (a - root b) since this will make the denominator the difference of two squares and the square of a root eliminates the need to use roots in the denominator.\r
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\n" ); document.write( "\n" ); document.write( "1/(a + root b) = (a - root b)/((a - root b)(a + root b)) = (a - root b)/(a squared - b)\r
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\n" ); document.write( "\n" ); document.write( "Therefore
\n" ); document.write( "1/(5 + root 3) = (5 - root 3)/((5 - root 3)(5 + root 3)) = (5 - root 3)/(25 - 3) = (5 - root 3)/22\r
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\n" ); document.write( "\n" ); document.write( "We multiplied numerator and denominator by (5 - root 3) \n" ); document.write( "
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