SOLUTION: √3 - √1/3
answer is 2√3
___
3
I need to know how to get the answer.
Algebra.Com
Question 93035: √3 - √1/3
answer is 2√3
___
3
I need to know how to get the answer.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Here's one way of doing the problem:
.
Given:
.
.
Change the second term into the square root of the numerator over the square root of the
denominator to make the given expression become:
.
.
Put the first term over a common denominator of by multiplying the first term
by . Since the denominator and numerator of this multiplier are equal,
this is equivalent to multiplying the first term by 1. This multiplication makes the
expression become:
.
.
Notice that the numerator of the first term is . Multiplying
out the two square roots just results in an answer of . And the numerator of the
second term is the square root of 1. But the square root of 1 is just 1. Making these two
changes to the expression results in it becoming:
.
.
Since both terms have a common denominator the two numerators can be combined over that
common denominator and the result is:
.
.
Do the subtraction in the numerator and the expression further simplifies to:
.
.
Finally, by convention we do not leave a square root in the denominator. To get rid of it,
just multiply the expression by and it transforms the expression:
.
.
And that's the answer you were looking for.
.
Hope this helps clarify the problem for you.
.
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