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maks197457 [2]
3 years ago
11

125 is.a perfect square or perfect cube

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Answer:

It is a perfect cube with sides of 5.

Step-by-step explanation:

If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.

A^2 = 125\\A = \pm 11.18...

We can see that the roots are not whole numbers.

(Tip: without a calculator, we can find this by testing 10^2 \ 11^2\ 12^2 to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)

If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.

B^3 = 125\\B = \sqrt[3]{125} \\B = 5

As we can see, there IS a whole number B: 5 !

(Without a calculator, like the previous one, we could try 4^3\ 5^3\ 6^3 and we'd find that 5^3 = 125)

Answer: It is a perfect cube with sides of 5.

mr Goodwill [35]3 years ago
5 0

Answer:

Perfect cube

Step-by-step explanation:

5 x 5 x5 = 125

5x5= 25

25x5 =125

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