simplify square root 81/225?

Question

please show work and explain

Answer 1

√(81/225) = 9/15 = 3/5

Answer 2

This equals the square roots of 81 over the square roots of 225. The square roots of 81 are +/-9, and those of 225 are +/-15, so your beginning answer would be +9/+15 = +3/5, +9/-15 = -3/5, -9/+15 = -3/5, and -9/-15 = +3/5. So, in the end, there are only two fully simplified answers: +3/5 and -3/5. (Or, if you like, +/-0.6)

Answer 3

That is 9/15 or 3/5.
The square root of 81 = 9
and the square root of 225 is 15.
Quotient = 9/15 = 3/5.

Answer 4

The sqrt of a fraction is equal to the square roots of both the numerator and denominator.
sqrt(81/225) = sqrt(81) / sqrt(225)

The sqrt of 81 is 9, and the sqrt of 225 is 15
sqrt(9*9) / sqrt(15*15) = 9 / 15

9/15 can be reduced by dividing the top & bottom by a common factor (3 in this case):
9 / 15 = (3*3) / (3*5) = 3/5

Answer 5

root 81/225 = 9/15 = 3/5

Answer 6

The answer is 9/15 which when you divide by 3 simplifies to 3/5.
9*9 = 81
15*15 = 225

Answer 7

Take the sq. root of the two the numerator and the denominator and you will have sq. Root 80 one/225 = 9/15 Divide numerator and denominator by utilising 3, hence 9/15 = 3/5 you are able to end right here or you additionally can/nonetheless divide the numerator by utilising the denominator and you will have 3/5 = 0.6 wish this facilitates.

Answer 8

√(81 / 225)

Can rewrite this as because we know the √ values of these (√9=3 and √ 25=5):

=√9(√9)/ √25(√9)
=3(3) / 5(3)
=9/15

We can divide both values by 3 because they are divisible by 3:
=(9/3)/(15/3)

We are left with:
=3/5

Answer 9

square root 81/225
square root( 9*9/15*15)
9/15
3/5
.6