Question

I NEED HELP

1. Simplify.
4√16x^4y^12
Assume all variables are nonnegative.
Enter your answer in the box.

2. Simplify 5√12xm^3

Assume x and m are nonnegative.

10m^3√3x
10m√3xm
60m^3√x
60√xm^3

3. Which expression is equal to 5/√13?

25/13
√5/13
5√13/13
√65/13

4. What is the expression in radical form?

(5ab)3/2

^3√5a^2b^2
√5a^3b^3
√125a^3b^3
^3√25a^2b^2

5. Which expression is equal to 2√54−4√24?



​−√6 ​
−11√6
√6 ​
−2√6 <<<< I chose this one, am I correct?

Answer 1

1) Given

\\4\sqrt {16 X^4 Y^{12}} \\

Now we solve this

\\4\sqrt {16 X^{4}Y^{12}} = 4*4 X^2 Y^6 = 16 X^2 Y^6\\

2) Given

\\5\sqrt{12 x m^{3} }\\

Now we solve this

\\5\sqrt{12 x m^{3} } =10 m\sqrt{3 x m}\\

3) Given

\\\frac {5}{\sqrt {13}} \\

Now we solve this

\\\frac{5}{\sqrt{13} } = \frac{5}{\sqrt{13} } *\frac{\sqrt {13} } {\sqrt{13}=\frac{5\sqrt{13} }{13}\\

4) Given

\\(5 ab)^\frac{3}{2} \\

Now we write in radical form

\\(5 ab)^\frac{3}{2} = \sqrt{(5 ab)^3} \\

5) Given

\\2\sqrt{54} -4\sqrt{24} \\

now we solve this

\\2\sqrt{54} - 4\sqrt{24} = 6\sqrt{6} - 8\sqrt{6} = -2\sqrt{6}\\

Answer 2

All I know is the answer for number one but it’s 2xy^2