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

Algebra ->  Problems-with-consecutive-odd-even-integers -> 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      Log On


   



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) About Me  (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.
-----------------------------------------------------------------
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.
-----------------------------------------------------------------
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.
=================================================================
Cheers,
Stan H.