variable expressions and square roots

lilyflower11 · 2010-12-05 10:18:08

how do you solve this question:
Assuming that all variables are positive, find the root square of (4x5y2)/9x3.

bobbym · 2010-12-05 10:44:10

Hi lilyflower11;

Is this what you want the square root of?

DrSteve · 2010-12-09 00:09:41

Rewrite the expression as

.

Now take the square root of each factor.

.

You can also simplify the original expression before taking the square root as follows:

.

Remark: In general

but we can eliminate the absolute values because x is given to be positive (and similarly for y).

Last edited by DrSteve (2010-12-09 00:18:36)

lilyflower11 · 2010-12-19 06:34:51

thanks for your help, everyone!

bobbym · 2010-12-19 08:32:11

Hi lilyflower11;

Welcome to the forum!

lilyflower11 wrote:

Assuming that all variables are positive, find the root square of (4x5y2)/9x3.

I am glad you are satisfied with the answer but I would like to say that I had to guess at the form you wanted and the problem was solved based on my guess. The way you have it written it could have just as easily been:

In which case you would not have got the answer you wanted. Math is a language just like English. You need to be very accurate, very precise to prevent misunderstandings.

All that will come with practice. Hope to see you again and prove that math is not hard, it is fun.

Math Is Fun Forum

#1 2010-12-05 10:18:08

variable expressions and square roots

#2 2010-12-05 10:44:10

Re: variable expressions and square roots

#3 2010-12-09 00:09:41

Re: variable expressions and square roots

#4 2010-12-19 06:34:51

Re: variable expressions and square roots

#5 2010-12-19 08:32:11

Re: variable expressions and square roots

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