SOLUTION: I have been trying to do this problem for a while now, i tried doing it step by step and also checking it on the calculator but it gives me a different answer every time. 3squ

Question 95958: I have been trying to do this problem for a while now, i tried doing it step by step and also checking it on the calculator but it gives me a different answer every time.

3square root of 45 -2square root of 125
this is al together like side by side
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given to simplify:
.

.
On a calculator you can find that the square root of 45 is 6.708203932 so multiplying
the square root of 45 times 3 results in 3*6.708203932 = 20.1246118. Substituting this number
into the problem in place of reduces the problem to:
.

.
Next you can use the calculator to find that . Multiplying this
by -2 results in . Then substituting this
into the equation reduces the equation to:
.

.
So the answer to this problem is -2.236067975 within the roundoff error on the last decimal
place.
.
Now let's work the problem without doing it on a calculator. Start with:
.

.
Note that by the rules of radicals,
So you can substitute for to get:
.

.
Now let's simplify :
.

.
You can now substitute for to get:
.

.
Do the multiplications. 3*3 = 9 and -2*5 = -10. So this becomes:
.

.
You can factor from each term to get:
.

.
Combine the two numbers in the parentheses to get:
.

.
So the answer we got is . If you find the square root of 5 on a calculator
you will find that it is 2.236067977. Therefore, our answer becomes:
.

.
This agrees with the answer we got by doing all the work on a calculator. So you can use
either method depending on what is compatible with the way your teacher wants it done.
.
Hope this helps you to understand the problem and how to get the answer.
.

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