Question

What is the product of the square root of t. (8the square root of 2. - 7)? Simplify if possible.

Answer 1

So this is what we need to simplify?
\[\Large \sqrt t \left(8\sqrt2-7\right)\]

Answer 2

yes!

Answer 3

So we can start by `distributing` the sqrt(t) to each term inside the brackets, giving us,\[\Large \left(8\sqrt2\sqrt t-7\sqrt t\right)\]We can drop the brackets since nothing is being applied to the outside of them anymore,\[\Large 8\sqrt2\sqrt t-7\sqrt t\]We can combine the square roots in the first term,\[\Large 8\sqrt{2t}-7\sqrt t\]

Hmm we can't really do much simplification beyond that.. :\

Answer 4

thats all yoou had to do??

Answer 5

2t

the square root of the quantity 2 times t.

8the square root of the quantity 2 times t. - 7

8the square root of the quantity 2 times t. - 7the square root of t.

Answer 6

those were the answeers

Answer 7

Hmm does our answer match any of those descriptions? :)

Answer 8

yeah! the last one (:

Answer 9

Yay good job.
The only really tricky part is distributing the sqrt(t).
Make sure you're comfortable with that step.

Answer 10

yeah i need more practice with that

Answer 11

Tom, dont forget to give Zedprix a medal!