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37 votes
37 votes
Show if √5×√5×√8 is rational or irrational numbers​

User FuzzyJulz
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2 Answers

24 votes
24 votes
√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number
17 votes
17 votes

Answer:

Irrational number

Explanation:

Rational and irrational number:

Prime factorize the number and then simplify.


\sf √(5)*√(5)*√(8)=√(5*5*8)


\sf = √(5*5*2*2*2)\\\ = 5* 2* √(2)\\\\= 10√(2)is an irrational number.

User Jake Berger
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3.1k points