# : really quick simplifying radical question

#### xLaser

hey, just a really quick question, any help wud be great,

is it possible to simplify this radical further?

p = sqrt root (6/70q^2)

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#### OlderDan

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xLaser said:
hey, just a really quick question, any help wud be great,

is it possible to simplify this radical further?

p = sqrt root (6/70q^2)

Certainly. The ratio of two even numbers can always be simplified. Any time you have the square root of a square, you can simplify, though you do need to be careful. If q is any real number, then when you take the square root you cannot simply write q in the simplified expression, you need to write the absolute value of q. In most problems of this sort, variables are treated as postive quantities, but you need to check the context of the problem.

#### xLaser

the question stated q is greater than 0, therefore q is pos. but how would u simplify this since q does not have a number value?

#### OlderDan

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xLaser said:
the question stated q is greater than 0, therefore q is pos. but how would u simplify this since q does not have a number value?
If it were a number like 5, what would say about sqr root (5^2)? Change 5 to any other number, including fractions like 1/5. What must be true in general?

And remember that sqr root (a*b) = (sqr root(a))*(sqr root (b))

p=sqrt 3/35q^2

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#### DDS

older dan do u mind checking your private messages and reisitng some of my work on my posts as well..

i got it

its sqrt105 /35q

#### OlderDan

Homework Helper
xLaser said:
i got it

its sqrt105 /35q
I don't think so. Where does 105 come from? You need to use parantheses to show what is in the square root and what is not.

#### xLaser

ok maybe u guys got orginial Question wrong.

it's actually p = sqrt root (6 / 70q^2)

so becomes sqrt 6 / sqrt 70 sqrt q^2

so becomes sqrt 6 / sqr 70 q

sqrt 6 * sqrt 70 / 70q

sqrt 420 / 70q

sqrt 105 / 35 q

#### whozum

Theres alot of algebra going wrong there.

$$\sqrt{\frac{6}{70q^2}}$$

$$\frac{\sqrt{6}}{\sqrt{70q^2}}$$

$$\frac{\sqrt{2}\sqrt{3}}{\sqrt{2}\sqrt{35}\sqrt{q^2}}$$

Do you follow that? That's one way to do it. Complete the process.

#### xLaser

yeah dude, .... ok so u get

sqrt 3 / sqrt 35 q

now u multiply by sqrt 35 / sqrt 35

and u get sqrt 105 / 35 q

..................... lol....

#### whozum

You really should use parentheses.

#### xLaser

lol yeah i gotta learn the things u guys use to write symbols out.

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