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music1031
music1031 music1031
  • 11-10-2014
  • Mathematics
Answered

A number multiplied by itself and then by itself again gives 1000. What is the number?

Verified Answer :

waterbugz
waterbugz waterbugz
  • 11-10-2014

It is 10 because 10 to the 3rd power or 10 cubed or 10 x 10 x 10 is equal to 1,000. 10 x 10 = 100 and 100 x 10 = 1,000.

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rabinshrestha41
rabinshrestha41 rabinshrestha41
  • 11-10-2014

Let, 
the number be "x"
According to the question,
x x x = 1000
x³ = 1000

Cube-rooting on both sides

\(\sqrt[3]{ x^{3} } = \sqrt[3]{1000}\)

\(\sqrt[3]{ x^{3} } = \sqrt[3]{ 10^{3} }\)

The cube cancels the cube root sign, so,

x = 10

So, the number is 10

Answer Link

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