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Firdavs [7]
3 years ago
6

What is the answer for: 1÷6 + √3

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

To simplify the given expression we need to remove the radical from the denominator by rationalizing it.

To rationalize a radical expression first step is multiply both numerator and denominator of the expression by the conjugate of it's denominator.

So, conjugate of 6+√3 = 6-√3.

Hence,

\frac{1}{6+\sqrt{3}}  *\frac{6-\sqrt{3}}{6-\sqrt{3}}

=\frac{6-\sqrt{3}}{(6+\sqrt{3})(6-\sqrt{3})}

=\frac{6-\sqrt{3}}{6^2-\sqrt{3}^2} Since (a+b)(a-b)= a^2-b^2

=\frac{6-\sqrt{3}}{36-3}

=\frac{6-\sqrt{3}}{33}

So, the answer is \frac{6-\sqrt{3}}{33}

NikAS [45]3 years ago
3 0

1.89871747424 heres the answer

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