when you find factors for a number and you are trying to find a perfect sqaure for the radical and if they have more than pne do you use the biggest or smallest perfect sqaure????? please help mi reward is a medal.....

Question

amistre64 · Answer

any perfect square will help reduce the work; the largest perfect square will reduce the work the fastest

amistre64 · Answer

if you have many perfect squares, you can take them all out ...

amistre64 · Answer

if you have an example youd like to work on, that might help make the point

anonymous · Answer

$$\sqrt{72}$$

amistre64 · Answer

and 72 factors into .... any perfect squares?

amistre64 · Answer

9*8

9*4*2,  or simply 36*2

we can either take out (3*2) for the perfect squares of 9 and 4

or we can just take out a 6 for the perfect square of 36, either way, we get 6 sqrt2

amistre64 · Answer

$$\sqrt{72}$$
$$\sqrt{9*4*2}$$
$$\sqrt{9}\sqrt{4}\sqrt{2}$$
$$3\sqrt{4}\sqrt{2}$$
$$3*2\sqrt{2}$$
$$6\sqrt{2}$$

anonymous · Answer

thats what i was thinkingbut if i use 36 and 2 it would comm out faster...

amistre64 · Answer

faster yes, but if you cant see it as 36*2 to start with, then the smaller factors still produce the same resutls :)