: really quick simplifying radical question

1. Jun 12, 2005

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)

2. Jun 12, 2005

OlderDan

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.

3. Jun 12, 2005

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?

4. Jun 12, 2005

OlderDan

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))

5. Jun 12, 2005

DDS

p=sqrt 3/35q^2

6. Jun 12, 2005

OlderDan

p=sqrt (3/35q^2). Keep going

7. Jun 12, 2005

DDS

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

8. Jun 12, 2005

xLaser

i got it

its sqrt105 /35q

9. Jun 12, 2005

OlderDan

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.

10. Jun 12, 2005

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

11. Jun 12, 2005

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.

12. Jun 12, 2005

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....

13. Jun 12, 2005

whozum

You really should use parentheses.

14. Jun 12, 2005

xLaser

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