Question 1209030
<br>
{{{(sqrt(2))(sqrt(6))(sqrt(110))(sqrt(47))(sqrt(52))(sqrt(550))}}}<br>
For positive numbers, the product of square roots is the square root of the product.<br>
{{{sqrt((2)(6)(110)(47)(52)(550))}}}<br>
Simplify the product by finding pairs of like factors; use those pairs of like factors to bring whole numbers outside the radical using {{{(sqrt(A))(sqrt(A))=A}}}<br>
The 110 and 550 have a common factor of 110
The 2 and 6 have a common factor of 2
The 52 has two factors of 2<br>
{{{sqrt((2)((2)(3))(110)(47)((2)(2)(13))((5)(110)))}}}<br>
{{{((2)(110)(2))sqrt((3)(47)(13)(5))}}}<br>
{{{440*sqrt(9165)}}}<br>