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sqrt(45) = sqrt(9 x 5) =>

sqrt(9 X 5) = sqrt(9) X sqrt(5)

sqrt(9) = 3 Rational

However

sqrt(5) = 2.236067977..... which is Irrational.

Remember

Rational X Irrational = Irrational

Hence sqrt(45) is irrational

NNB The square roots of Prime number , '5' being a prime, are irrational.

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lenpollock

Lvl 17
1w ago

What else can I help you with?