SOLUTION: If p > 0, which of the following is equal to √48p^3 A. 4p√3p B. 3p√4p C. 2√12p D. 3√8p E. 16p√3p Please Help me what to do step by step.

Algebra.Com
Question 282541: If p > 0, which of the following is equal to √48p^3
A. 4p√3p
B. 3p√4p
C. 2√12p
D. 3√8p
E. 16p√3p
Please Help me what to do step by step.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Factor into


Factor into


Break up the square root using the identity .


Take the square root of to get .


Take the square root of to get .


Rearrange and multiply the terms.

==================================================

Answer:


So simplifies to


In other words, where

RELATED QUESTIONS

PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME. √(2)[√(4y) - √(18)]... (answered by stanbon)
lim {√(x-q)-√(p-q)}/x^2-p^2 (p>q)is evaluated as x-->p... (answered by solver91311)
If p > 0, which of the following is equal to √48p3 A. 4p√3p B.... (answered by brucewill)
If 2 ≤ x ≤ 6, which of the following has the greatest value? (A) √x (answered by Fombitz)
which choice is equivalent to the fraction below when x>or equal to 2? 4/√... (answered by jsmallt9)
What is the value of j in the equation √ j + √ j + 14 = 3√ j +... (answered by srinivas.g,MathLover1)
If 0 < n < 1, which of the following gives the correct ordering of √n, n, and, n^2 (answered by CharlesG2)
Which choice is equivalent to the following expression? (√x+2)(√x-3)... (answered by josgarithmetic,MathTherapy)
∫e^√x / √x dx= (A) 2e^√x+C (B) 1/2e^√x+C (C)... (answered by Alan3354)