Question

Can someone explain to me how to find the square root of 50?

Answer 1

@TuringTest

Answer 2

Are you trying to get an approximation?

Answer 3

No I want to simplify it into another form of square root.

Answer 4

can you factor 50 where one factor is a perfect square?

Answer 5

Yes 25.

Answer 6

25 times what?

Answer 7

2

Answer 8

so,

\[\Large \sqrt{50} = \sqrt{25*2}\]

\[\Large \sqrt{50} = \sqrt{25}*\sqrt{2}\]

\[\Large \sqrt{50} = 5\sqrt{2}\]


in step 2, I'm using rule #1 from this page (look under the "distributing" section)

http://www.mathwords.com/s/square_root_rules.htm

Answer 9

Can you explain to me why you have kept the 5 outside. I understood that the square root of twenty five is five. But can you emphasize this to me a bit moreover?

Answer 10

well I broke up \(\Large \sqrt{25*2}\) into \(\Large \sqrt{25}*\sqrt{2}\) using that rule on the given link

Answer 11

then I replaced all of \(\Large \sqrt{25}\) with 5 since \(\Large \sqrt{25}=5\)

Answer 12

But why have you kept the five outside and the two inde the radical sign?

Answer 13

*inside

Answer 14

if 5 remained inside the root, then you'd have \(\Large \sqrt{5}\) but \(\Large \sqrt{25} \neq \sqrt{5}\)

Answer 15

the 2 remains in the root sign because the square root of 2 is some irrational number

Answer 16

O ya thanks.

Answer 17

you're welcome