Question

-4/√20 rationalize denominator

Answer 1

\[\frac{ -4 }{ \sqrt{20} }=-4*\sqrt{20}/20=-\sqrt{20}/5\]

Answer 2

just multiply the numerator and denominator by the same term for which it is in the sqrt

Answer 3

in the what?

Answer 4

\[\sqrt{20}=\sqrt{2*2*5}\]

Answer 5

\[=2\sqrt{5}\]

Answer 6

simplest form of denomnator

Answer 7

now multiply numerator and denominator with sqrt 5 to rationalize the denominator

Answer 8

\[\frac{ -4 }{ \sqrt{20} }= \frac{ -4 }{ 2\sqrt{5} }\]

Answer 9

\[\frac{ -4 }{ 2\sqrt{5} }*\frac{ \sqrt{5} }{ \sqrt{5} }\]

Answer 10

\[=\frac{ -4*\sqrt{5} }{ 2*5 }\]

Answer 11

\[=\frac{ -2\sqrt{5} }{ 5 }\]
cancellation with 2

Answer 12

is it clear