Simplify:
√p^6+√9p^6+3√p^6-√p^2

Question

Simplify:
√p^6+√9p^6+3√p^6-√p^2

anonymous · Answer

$$\sqrt{p^6} + \sqrt{9p^6} +3\sqrt{p^6} -\sqrt{ p^2} = p^3 + 3p^3 + 3p^3 - p = 7p^3 - p$$

anonymous · Answer

What else you can do in this:

Take p common:

$$\huge 7p(p^2 - 1)$$

Use:

$$(a^2 - b^2) = (a-b)(a+b)$$

$$\huge \color{green}{= 7p(p+1)(p-1)}$$

anonymous · Answer

$\huge \color{blue}{\textbf{Welcome To Openstudy..}}$

anonymous · Answer

thank you

anonymous · Answer

Welcome dear..

anonymous · Answer

so my answers for the last problem for my study guide are
79^3 or 7p^3-p

anonymous · Answer

It is later one;;

$$7p^3 - p..$$

anonymous · Answer

okay thank you soo much I have a few more questions if you don't mind

anonymous · Answer

√2(x-√5)

anonymous · Answer

Do it yourself..
I am giving you the formula:

$$\huge \sqrt{a}(b - \sqrt{c}) = b \sqrt{a} - \sqrt{a \times c}$$

Here, a = 2, b= x and  c = 5

Plug in the values and solve..

anonymous · Answer

ok thanks and do I use the formula for this problem as well? 5√3 (2√3 +6√19)

anonymous · Answer

Yes the same formula.. 
You have to just distribute 5root(3) to the parenthesis..

anonymous · Answer

okay hopefully I get it

anonymous · Answer

would the answer for the first question be 2x sqrt2?

anonymous · Answer

sorry 2x-2 sqrt 2