Question

Please help!
A square has an area of 500 square units. Find the length of a side of the square as a radical expression in simplest form.

Answer 1

Hey! Let me just review some things first. Been a while since I have done geometry.

Answer 2

This problem was in the unit for square roots and such.

Answer 3

take the square root
that is all

Answer 4

thats it?

Answer 5

lol

Answer 6

So, just find the square root of 500?

Answer 7

well they want "radical form" so you cannot write
\[\sqrt{500}\] or a decimal

Answer 8

You don't need to have a 4 outside of the radical sign?

Answer 9

since \[500=5\times 100\] you know
\[\sqrt{500}=\sqrt{100\times 5}=\sqrt{100}\sqrt5=10\sqrt5\]

Answer 10

10 radical 5 is right!

Answer 11

Thank you so much @satellite73 and @theopenstudyowl ! Can you guys help me with one more?

Answer 12

I can...

Answer 13

Thank you!

Answer 14

I can help you with as many as you want!

Answer 15

You stand on a bridge and drop a pebble into the water below from a height of 75 feet. You can use the expression
\[\sqrt{\left(\begin{matrix}75 \\ 16\end{matrix}\right)}\]
to find the time in seconds that it takes the pebble to hit the water. Write the expression in simplest form. Then approximate the value of the expression to the nearest second.

Answer 16

what class is this?

Answer 17

pre-algebra

Answer 18

haha, its just I dont remember ever seeing a notation like that one, thats all... one sec.

Answer 19

is that a fraction?

Answer 20

yes

Answer 21

oh ok, that makes sense!

Answer 22

yes

Answer 23

Can you fix the equations? I lost you.

Answer 24

yes, one sec

Answer 25

Thank you!

Answer 26

\[\sqrt{75/16}=\sqrt{75}/\sqrt{16}=\sqrt{75}/4=(\sqrt{25}\times \sqrt{3}/4=5\sqrt{3}/4\]

Answer 27

Would it be 25 x 3/4 because 25x3= 75, right?

Answer 28

yes!

Answer 29

then the square root of 25 is 5

Answer 30

Ok. Thank you!

Answer 31

How would you find the value of the expression to the nearest second?

Answer 32

plug the 5sqrt3/4 into a calculator and round to the nearest whole number..

Answer 33

Could you work out the problem, though?

Answer 34

2 seconds!

Answer 35

the lowest possible form is \[5\sqrt{3}/4\]

Answer 36

Is that the approximate second?

Answer 37

i believe so!

Answer 38

Ok. Thank you for all of your help!

Answer 39

yah np

Answer 40

Bye!

Answer 41

see yah