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Anni [7]
3 years ago
7

Rationalise the following: (Root3-1) / (root3+1)

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

2-\sqrt{3}

Step-by-step explanation:

\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}

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As seen above, the first number that shows up on both is 100, therefore, 100 is your answer

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8 0
3 years ago
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4 years ago
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4 years ago
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