Question

I just need a bit of help with these few Alg. 1 questions, please

Answer 1

what are the questions?

Answer 2

SImplify the radical expression:

(sq. root)100h^10

Answer 3

Simplify the rational expression:

(sq. root)8h^10

Answer 4

like this? \[\sqrt{100*h^{10}}\]

Answer 5

Yeah! Sorry, I don't know the commands for format here yet lol

Answer 6

ok, so for the first one, you can pull out the square root of 100. do you know what that is?

Answer 7

10

Answer 8

correct, now you can pull out the square root of h^10 (divide the exponent by 2)

Answer 9

3, but what do I do with the exponent?

Answer 10

actually it would be h^5 when you pull it outside the square root

Answer 11

Or 5, my bad

Answer 12

so 10h^5 ?

Answer 13

Yep! thats exactly right! good job! :)

Answer 14

the second one can be done the same way

Answer 15

Ohh, I see, thank you! Could you help me with a few more?

Answer 16

Remember, when you multiply two exponentials with the same base, you get the new exponent by adding them together.

\[x^a*x^b = x^{a+b}\]

So if your answer was \(10h^5\), squaring it should give you what you started with under the radical sign.

\[10h^5*10h^5 = 10*10*h^5*h^5=100*h^5*h^5=100*h^{5+5} = 100*h^{10}\checkmark\]

Answer 17

Gahh. stupid OpenStudy window sizing...

\[=100*h^{5+5} = 100*h^{10}\]

Answer 18

@whpalmer4 he/she is actually trying to find the square root of (100*h^10)

Answer 19

Ah, I understand a bit better now. So with this:

V45

would it be
5V3
or
3V5 ?

Answer 20

yes @Wolfadaskies thats right, good job!

Answer 21

(thats supposed to be a sq. root sign, sorry)

Answer 22

Is either on e of those formats correct, then?

Answer 23

i assumed you meant square root but couldnt figure out the formatting but it is supposed to be a square root so \[3\sqrt{5}\]

Answer 24

AH yeah thats what I meant to put ^_^/ thank you

Answer 25

sure thing! :) keep up the good work!

Answer 26

Thank you so much :)