# math

how would one divide the following, with full steps shown:
1+1/√3 ÷ 1-1/√3

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1. you need brackets like this

(1+1/√3) ÷ (1-1/√3)
now multiply both the top and the bottom by √3

(√3 + 1) / (√3 - 1)

now you could rationalize it by multiply top and bottom by √3+1

for

(3 + 2√3 + 1)/(3-1)
=(4 + 2√3)/2
= 2 + √3

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posted by Reiny

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