SOLUTION: a. the square root of 3 is 1.7320508....a non-repeating decimal. is the square root of 3 an irrational number? b. based on your answer to A is 3 a perfect square? explain why or

Question 252548: a. the square root of 3 is 1.7320508....a non-repeating decimal. is the square root of 3 an irrational number?
b. based on your answer to A is 3 a perfect square? explain why or why not?
c. is the number 16/25 a perfect square? explain why or why not.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a. the square root of 3 is 1.7320508....a non-repeating decimal. is the square root of 3 an irrational number?
Yes, all non-repeating decimals are irrational numbers.
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b. based on your answer to A is 3 a perfect square? explain why or why not?
3 is the square of (sqrt(3)) but is not considered to be a perfect
square. Perfect squares are numbers whose square roots are rational; numbers.
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c. Is the number 16/25 a perfect square? explain why or why not.
Yes, it is the square of 4/5; 4/5 is rational.
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Cheers,
Stan H.
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