kishajoneske2727 kishajoneske2727
  • 11-11-2019
  • Mathematics
contestada

The number 1953125 is equal to 5^9. Explain how the information above tells you that it is not a square number. I've tried the answer however it doesn't work. Thank you

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rani01654 rani01654
  • 15-11-2019

Answer:

[tex]5^{9}[/tex] can not be expressed as a square of any other number.

Step-by-step explanation:

The number 1953125 is equal to [tex]5^{9}[/tex].

Now, the above statement gives an idea that 1953125 i.e. [tex]5^{9}[/tex] is not a square number as 9 is not a multiple of 2.

So, we can not express [tex]5^{9}[/tex] as a square of any other number.

We can only express [tex] 5^{9} [/tex] as [tex] (5^{4} )^{2} \times 5 [/tex].

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