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As maths surds question

Hi, I am doing homework on simplifying/rationalising the denominator of surds and the last question I am stuck on, please may someone help.

4) Simplify
(2+√2)(3+√5)(√5-2) / all divided by
(√5-1)(1+√2)

Any help appreciated :smile:
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ztibor
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Original post by buttered
Hi, I am doing homework on simplifying/rationalising the denominator of surds and the last question I am stuck on, please may someone help.

4) Simplify
(2+√2)(3+√5)(√5-2) / all divided by
(√5-1)(1+√2)

Any help appreciated :smile:


multiply both the numerator and denominator first by (V2-1) then by (V5+1)

Denominator: as (V2-1)(V2+1)=2-1=1 and (V5-1)(V5+1)=5-1=4 so will be 4*1=4
Numerator: (V2-1)(V2+2)(V5+3)(V5-2)(V5+1)=V2*(V5-1)(V5+1) =.....

You can finish this, I think

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