I'll give you a few examples of a square root over a square root first, so you'll understand how I got the answer:
1. √a / √b = √ab / b
2. √2 / √3 = √2*3 / 3 = √6 / 3
3. 1 / √a = √a / a
4. √3 / √7 = √21 / 7
I think you get how it works now.
Now lets solve the question.
√10 / √3
can also be written as √10 * 1/√3
1/√3 simplified is √3/3
So, √10 / √3 = √10 * √3/3
= √10*√3 / 3
= √30 / 3
Factor 30 (2*3*5) and make sure there are no pairs of factors that are the same. (for example: two 2's or two 4's)
If there are any pairs of factors, then take them outside the square root.
ex: √20 = √2*2*5 = 2√5
That was the long way to solve it, but there is a trick:
Remember what √a / √b equals?
It equals √a*b / b.
This means √10 / √3 is simply just √30 / 3.
Then all you need to do is make sure the number inside the radical has no pairs of factors then you are good to go.
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
Answer:
Answer : 1,3,5,15
Step-by-step explanation:
The factors of 15.
Answer:
sorry I'm editing this to apologize, because I put the wrong answer on here. I said it was D, but this is NOT correct. I do not know the answer so I am sorry, but I cant delete my answer know that I've already posted it.... forgive me
Step-by-step explanation:
