How do you simplify 7−√710+√3?

2 Answers
kubik98
Dec 8, 2017

There is not much you can do. Only put square root to the top.

Explanation:

7−√710+√3⋅10−√310−√3=

=70−10√7+√21−7√3102−(√3)2=

=70−10√7+√21−7√397

sjc
Dec 8, 2017

=70−7√3−10√7+√2197

Explanation:

To simplify this expression we rationalise the denominator. That is multiply top and bottom by a term that will remove the square root.

We make use of the difference of squares identity

a2−b2=(a+b)(a−b)

7−√710+√3=7−√710+√3×10−√310−√3

=70−7√3−10√7+√21100−3

=70−7√3−10√7+√2197

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