Question

What is the exact value of the expressions the square root of 180. - the square root 125. + the square root of 5.? Simplify if possible.

2the square root of 2.

12the square root of 2.

2the square root of 5.

12the square root of 5.

Answer 1

\[\sqrt{180} - \sqrt{125}+ \sqrt{5}\]

\[2\sqrt{2}\]

\[12\sqrt{2}\]

\[2\sqrt{5}\]

\[12\sqrt{5}\]

Answer 2

@misty1212

Answer 3

@mathstudent55

Answer 4

HI!!

Answer 5

HI!!

Answer 6

\[\sqrt{180} - \sqrt{125}+ \sqrt{5}\] right?

Answer 7

yes

Answer 8

if there is anything we can do with this, the first two terms have to be written with some number times \(\sqrt5\) and then we can combine like terms

Answer 9

for example
\[180=36\times 5\] so
\[\sqrt{180}=\sqrt{36}\sqrt5=6\sqrt5\]

Answer 10

try it with \(\sqrt{125}\) and see what you get

Answer 11

okay so I would do what?

Answer 12

divide \(125\) by \(5\) and see what you get
bet it is a "perfect square"

Answer 13

25

Answer 14

yeah and what is \(\sqrt{25}\)?

Answer 15

5 ?

Answer 16

lol no not 5? but rather 5!

Answer 17

so you have
\[6\sqrt5+5\sqrt5+\sqrt5\] add like comining like terms

Answer 18

okay so that would leave us with 6 though

Answer 19

oh no
what is \[6+5+1\]?

Answer 20

12

Answer 21

so it would be \[12\sqrt{5}\] right?

Answer 22

so
\[6x+5x+x=12x\] and \[6\sqrt5+5\sqrt5+\sqrt5=12\sqrt 5\]

Answer 23

yay
\[\color\magenta\heartsuit\]

Answer 24

thanks!