Simplify: √36 Divided 225?

2008-06-19 7:41 pm
A. √189
B. 6 Divided 15
C. 13.7
D. 94 1 Divided 2

回答 (7)

2008-06-19 7:46 pm
✔ 最佳答案
√36 = 6
so 6 Divided 225 .... not B

are you sure it isnt √(36 Divided 225) ?

that would be 6/15 ... giving ans B
2008-06-20 2:57 am
You should use a slash to represent division. You could also use Alt+0247 (÷, you have to use the number pad, not the numbers above the letters), but a slash is easier and more common in typing. You should also use parentheses with radicals (sqrt(36/225), or sqrt(36)/225, depending on what you meant). In this, you can't tell if /225 is in the radical or not. I'm going to assume it is.

sqrt(36/225) #split numbers into perfect squares
sqrt((9*4)/(9*25)) #evaluate roots, keeping numerator/
.......................#denominator status
3*sqrt(4/(9*25)) #substitute one as numerator
3*2*sqrt(1/(9*25))
3*2*sqrt(1/25)/3
3*2*sqrt(1)/3/5 #simplify
3*2*1/(3*5)
6/15
2/5
.4

B. 6/15
2008-06-20 2:57 am
hmm
it's not A
& i don't think it's C or D.

but B isn't right unless the problem is written differently. ex. the sqaure root(36 Divided 225)

the only way i can figure it.
2008-06-20 2:54 am
√36 / 225 = 6 / 225 = 2 / 75

So it's not A, B, C or D.

Unless B is supposed to be 6 / 15² or you meant
√(36 / 225)
2008-06-20 2:52 am
sqrt(36 / 225)
= sqrt(36) / sqrt(225)
= 6/15 (B)

sqrt(36) / 225
= 6/225
= 2/75 (Which isn't one of the options)

So im going to guess that you meant sqrt(6/225)
in which case it is 6/15 (B)
2008-06-20 2:48 am
Is the fraction all inside the radical?

√(36/225) = 6/15 (take the square roots of both halves).

If the problem is (√36) / 225, then only the top half gets the sqaure root, being:

6/225, which reduces to 2/75, which isn't one of your answers. So that's why I think you really meant what I have above (paraenthesis is essential to properly show what your question is)
2008-06-20 2:55 am
√(36/225)
= √(6 x 6/15 x 15)
= 6/15
(answer B)


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