Express with rational denominator. 1/√2+√3+√5
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What you have written is actually:
12√+3–√+5–√
[Why? Convention re the order of operations; just like 12/2+1+3 = 6+1+3=10]
The only denominator in this expression is the surd √2
To remove this surd, we just need to multiply the numerator and denominator by √2, thus we have:
12√×2√2√+3–√+5–√
=2√2+3–√+5–√
Somehow, I don’t think this is what you meant!
Instead, I think you meant 1/(√2+√3+√5), which is:
12√+3√+5√
[12/(2+1+3) = 12/6 = 2]
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