Question

Write the following expression in simplified radical form.

Answer 1

\[\sqrt{75t^7w^4} = \sqrt{75}\sqrt{t^7}\sqrt{w^4}\]

Answer 2

is that the answer?

Answer 3

\[=\sqrt{25*3} \sqrt{t^2 * t^2 *t^2 *t} \sqrt{w^2*w^2} = \sqrt{25} \sqrt{3}\sqrt{t^2} \sqrt{t^2} \sqrt{t^2}\sqrt{t}\sqrt{w^2} \sqrt{w^2}\]

Answer 4

i think you can simplify it from there...

Answer 5

?

Answer 6

whats the sqrt of 25?

Answer 7

5

Answer 8

okay so the sqrt 25 can be replaced with a 5...

Answer 9

what about the sqrt of t^2?

Answer 10

t?

Answer 11

yep! so we can replace all the sqrt(t^2) with t's

Answer 12

and sqrt(w^2)?

Answer 13

w? so the complete answer is.....?

Answer 14

yep replace all the sqrt(w^2) with w's and YOU will have found the complete answer

Answer 15

what do ya get ill let you know how you did

Answer 16

sqrt 5wt?

Answer 17

nope... we cant just magically get rid of the sqrt(3) and what about the sqrt(t) we can only replace the sqrt(t^2)

Answer 18

the sqrt(t) has to stay

Answer 19

Here ill do the 5 four you so you can see how to do it...

\[\sqrt{25} \sqrt{3}\sqrt{t^2} \sqrt{t^2} \sqrt{t^2}\sqrt{t}\sqrt{w^2} \sqrt{w^2 } = (5) \sqrt{3}\sqrt{t^2} \sqrt{t^2} \sqrt{t^2}\sqrt{t}\sqrt{w^2} \sqrt{w^2}\]

noticed how i replace the sqrt(25) with a 5?

do the same thing for sqrt(t^2) and sqrt(w^2)

Answer 20

for*

Answer 21

so 5 sqrt 3 wt?