Question

simplify by rationalizing the denominator

Answer 1

\[\frac{ 2\sqrt{108} }{ \sqrt{180y} }\]

Answer 2

i will help

Answer 3

\[\frac{ 2\sqrt{108} }{ \sqrt{180y} } \times \frac{\sqrt{180y} }{\sqrt{180y} } = \]

Answer 4

wait back up a bit lets simplify the radicals first

Answer 5

\[\frac{ 2\sqrt{108} }{ \sqrt{180y} } = \frac{ 2\sqrt{(36)(3)} }{ \sqrt{(36)(5)y} } = \frac{ (2)(6) \sqrt{3} }{ 6 \sqrt{5y} } =\frac{ 12 \sqrt{3} }{ 6 \sqrt{5y} } =\frac{ 2 \sqrt{3} }{ \sqrt{5y} } \]

Answer 6

now me can easily rationalize this denominator

Answer 7

im lost

Answer 8

\[\frac{ 2 \sqrt{3} }{ \sqrt{5y} } = \frac{ 2 \sqrt{3} }{ \sqrt{5y} } \times \frac{ \sqrt{5y} }{ 5y} } = \frac{ 2 \sqrt{15y} }{ \sqrt{25y} \]

Answer 9

do you know how to simplify radicals?

Answer 10

nope

Answer 11

no