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

Rationalise the following: (Root3-1) / (root3+1)-example-1
User Steve Sanders
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1 Answer

6 votes

Answer:


2-√(3)

Explanation:


\begin{aligned}(√(3)-1)/(√(3)+1)* (√(3)-1)/(√(3)-1) &=((√(3)-1)(√(3)-1))/((√(3)+1)(√(3)-1))\\\\ & =(√(3)√(3)-√(3)-√(3)+1)/(√(3)√(3)-√(3)+√(3)-1)\\\\ & =(4-2√(3))/(2)\\\\ & = 2-√(3)\end{aligned}

User Edda
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