What's the simplified product of √t(8√2 - 7)?

Question

anonymous · Answer

When you multiply radical terms, you should be careful to only multiply the numbers outside of the radical together and the numbers inside the radicals together.
So for 2√10k * 5k√2?
It would be: 10k sqrt(20k)
Then, you could simplify the radical further:
10k sqrt( 4*5k)
20k sqrt(5k)
^That is the simplified product!

anonymous · Answer

Thank you!
Could you help with
√t (8√2 -7)

anonymous · Answer

would I have to "distribute" the √t into the equation?

anonymous · Answer

Yup! That's how you would start. Remember, you need to multiply the t by only the numbers/terms inside of the other radicals.

anonymous · Answer

since there is no sqrt in the second term, you would just multiply it by sqrt1

anonymous · Answer

$$8\sqrt{2t} -7\sqrt{t}$$
^That's what you should get.

anonymous · Answer

thank you again!!!!

anonymous · Answer

No worries lol ^_^