Question 699486
{{{sqrt(32)*sqrt(56)}}}

Find a two numbers that multiply to make the number under the radical. One needs to be a number which has a perfect square. An example of this type of number include 4,9,16,25,36,...

{{{sqrt(16*2)*sqrt(4*14)}}}

The root of the perfect square comes out of the radical leaving the other number alone. Multiply the two coefficients together and the numbers under the radicals together.

{{{4sqrt(2)*2sqrt(14)}}}

The number under the radical can be broken down again as explained above.
{{{8sqrt(28)}}}

{{{8sqrt(4*7)}}}

{{{8*2sqrt(7)}}}

{{{16sqrt(7)}}}