Expert: Richard J. Raridon - 7/20/2009

Question
Hi Mr. Raridon,

Can you please help with any of these problems?

Simplify: 3 square root 2w-5=1
a) w= 7   c) w= 16
b) w= 3   d) w= -5

Simplify: 1 ÷ 3 square root 64

Simplify: cube root 48/square root 2

Simplify: square root 3/ square root 4 + square root 27/ square root 4

^^^^ for that one I got: 4 square root 3 / square root 4

Simplify: (square root 7 - square root 2) ^2

Solve for x: square root (2x+5) -1=x

The answers are supposed to be with square roots but I'm not getting them right. Any help will be greatly appreciated.

Thank you,
Eva  

Answer
You don't have to write out square root, just ^1/2  
Do you mean 3(2w-5)^1/2 = 1 or 3(2w)^1/2-5 = 1?
Either way, none of those answers is correct.
1/[3(64)^1/2] = 1/24
(48)^1/3/(2)^1/2 = (6^1/3)(2^1/2)
4^1/2 = 2 so (3^1/2)/2 +(27^1/2)/2 = 2(3^1/2)
You would have had the right answer if you had put in 4^1/2 = 2
(7^1/2 -2^1/2)^2 = 9 -2(14)^1/2
For (2x+5)^1/2 -1 = x, x = +/-2