Question

I need help on this exponent problem! It won't take long.

Thanks in advance!

~Micah K.

Answer 1

@campbell_st

Answer 2

well you need to simplify

\[\sqrt{50}\]

before doing anything,... any thoughts...?

Answer 3

No thoughts. And wouldn't I have to break it down, not simplify? I don't think that I can simplify the square root of 50.

Answer 4

ok... so if I wrote is as

\[\sqrt{25 \times 2}\]

can you simplify this..?

Answer 5

I don't know.

Answer 6

ok... so what if I wrote it as

\[\sqrt{25} \times \sqrt{2}\]

can you simplify this

Answer 7

Would I break the square root of 50 into the square root of 5 times the square root of 5?

Answer 8

not quite

given \[\sqrt{50} = \sqrt{25 \times 2}\]

which can be written as

\[\sqrt{50} = \sqrt{25}\times \sqrt{2}\]

you end up with

\[\sqrt{50} = 5\sqrt{2}\]

so your problem now becomes

\[\sqrt{50} + \sqrt{2} = 5\sqrt{2} + \sqrt{2}\]

what do you think the answer is...?

Answer 9

Sorry, I had to leave for a while. I wasn't ignoring you.

Answer 10

The answer is B, because the fifth root of 2 plus the square root of 2 is the sixth root of 2, am I correct?

Answer 11

thats correct...