## becky 5 years ago I was asked to simplify square roots and I don't understand the instructions.

1. becky

the square root of 50?

2. sandra

ok, to do this you'd *like* to find a perfect square that is a factor of 50

3. sandra

so one is 25

4. sandra

$\sqrt{50} = \sqrt{25 x 2}$

5. sandra

now by the property of radicals - we know that the square root of two number multipled: e.g. $\sqrt{a*b} = \sqrt{a} * \sqrt{?}$

6. sandra

ugh, with that ? being b

7. sandra

so $\sqrt{50} = \sqrt{25 * 2} = \sqrt{25} * \sqrt{2} = 5 * \sqrt{?}$

8. sandra

meh - with that last "?" above being "2"

9. sandra

$5*\sqrt{2}$

10. divanshu

see dont listen to sandra and galf of the work is done follow this suppose that you have to find sqrt of 50 look for nearest perfect sqrt so aqrt of following numbers are 1 =1 4=2 9=3 25=5 36=6 49=7 64=8 so the sqrt of five lies between 7 and 8 that is it has to be something like 7point something got it

11. becky

so you just guess for the first number? and hope you can find a square

12. divanshu

well i must say sandra is genius at explaining things

13. sandra