document.write( "Question 280783: express in radical form, what is the product of 2 x the square root of 7 and 3 x the square root of 5 \n" ); document.write( "

Algebra.Com's Answer #204435 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282%2Asqrt%287%29%29%2A%283%2Asqrt%285%29%29\"$
\n" ); document.write( "Since this is all multiplication and since multiplication is Commutative and Associative we can change the order and grouping any way we choose:
\n" ); document.write( " $\"%282%2A3%29%28sqrt%287%29%2Asqrt%285%29%29\"$
\n" ); document.write( "For the square roots we can use the property of radicals, $\"root%28a%2C+p%29+%2A+root%28a%2C+q%29+=+root%28a%2C+p%2Aq%29\"$ to multiply them:
\n" ); document.write( " $\"6sqrt%2835%29\"$
\n" ); document.write( "The only thing left is to simplify the square root, if possible, by factoring out perfect squares. But 35 has no perfect square factors so it will not simplify. \n" ); document.write( "

\n" );