I'm lost please help!!!?

Question

I need to use property 1 to simplify the radical expression and assume that all variables represent postive real numbers:

√72x^3


And for this problem I need to Use property 2 to simplify the radical expression:

√10/49

Answer 1

So let me understand this... you are having problems with doing #1 and #2? That is not good at all.

I have problems with everything and I can tell you it can get very unpleasant at times.

Answer 2

1

Answer 3

Most likely this says SQR(72x^3). While I don't know what "Property 1" in your book says (YOU, of course can look it up), it most likely involves getting the smallest possible number underneath roots.

For the number part of this, you'd look for a perfect square that goes into 72 and simplify that. 72 = 36*2, so the square root of 72 is the square root of 36 times the square toot of 2 or 6 times the square root of 2.

For the variable part, you break x^3 down into x^2 times x. The square root of x^2 is |x| (the absolute value of x), so what your book is most likely going for for the final answer is
6|x| SQR(2x)

For SQR(10/49), assuming the whole fraction is under the root, just break it down into two parts (which is probably what "Property 2" says).
SQR(10) / SQR(49)

Since 49 is a perfect square, you just simplify that and you're done:
SQR(10) / 7