Question

I was asked to simplify square roots and I don't understand the instructions.

Answer 1

the square root of 50?

Answer 2

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

Answer 3

so one is 25

Answer 4

\[\sqrt{50} = \sqrt{25 x 2}\]

Answer 5

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

Answer 6

ugh, with that ? being b

Answer 7

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

Answer 8

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

Answer 9

\[5*\sqrt{2}\]

Answer 10

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

Answer 11

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

Answer 12

well i must say sandra is genius at explaining things

Answer 13

check out the explanation here on simplifying radicals:
http://www.purplemath.com/modules/radicals.htm