document.write( "Question 538883: I need help with this one. *Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers* Problem: Square root of 7a/32. Can anyone help, I have been working on this problem forever. I need to show my work and I believe I have the correct answer, I am just struggling with the complete steps in between. I really want to understand how to work this problem and my text is not a lot of help with this. *Thanks =)* \n" ); document.write( "

Algebra.Com's Answer #353282 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rationalise the denominator:
\n" ); document.write( " $\"sqrt%287a%2F32%29\"$ = $\"sqrt%287a%29%2Fsqrt%2832%29\"$
\n" ); document.write( "To \"rationalise\" the denominator means to remove the radical sign and this can be done here by multiplying the numerator and the denominator by $\"sqrt%2832%29\"$ .
\n" ); document.write( " $\"sqrt%287a%29%2Asqrt%2832%29%2F%28sqrt%2832%29%2Asqrt%2832%29%29\"$ Substitute $\"sqrt%2832%29%2Asqrt%2832%29+=+32\"$
\n" ); document.write( " $\"sqrt%287a%29%2Asqrt%2832%29%2F32\"$ Perform the indicated multiplication in the numerator.
\n" ); document.write( " $\"sqrt%2832%2A7a%29%2F32\"$
\n" ); document.write( " $\"sqrt%28224a%29%2F32\"$ Rewrite $\"224+=+16%2A14\"$
\n" ); document.write( " $\"sqrt%2816%2A14a%29%2F32\"$ Take the square root of 16 (that's 4) and move it outside the radical.
\n" ); document.write( " $\"4%2Asqrt%2814a%29%2F32\"$ Rewrite $\"32+=+4%2A8\"$
\n" ); document.write( " $\"4%2Asqrt%2814a%29%2F%284%2A8%29\"$ Cancel the 4's
\n" ); document.write( " $\"sqrt%2814a%29%2F8\"$ or $\"%281%2F8%29sqrt%2814a%29\"$ \n" ); document.write( "

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