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write 2/(3+root(5)) in the form a + b*root(5), where a and b are rational numbers.

You would first multiply the expression by (3-root(5))/(3-root(5) - which equals 1 - to get (6-2root(5))/14 which then equals 3/7 - (1/7)*root(5) and you are done.

Answered by Max G. • Maths tutor

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