Question

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Show that (V3+V5)^2 is an rational number.
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Answer 1

Answer:

(√3+√5)²

= √3²+√5²+2×√3×√5

= 3+5+2√15

= 8+2√15

It's an irrational NOT RATIONAL because

√15 is irrational

We know that irrational × rational = irrational

∴2×√15 is irrational

And we also know that irrational + rational = irrational

∴  8 + 2√15 is irrational NOT RATIONAL

Answer 2

Explanation:

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