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What whole number is less than 100 that is both a perfect square and a perfect cube?
To be a perfect square, all the primes in a number's prime factorisation must have an even power To be a perfect cube, all the primes in a number's prime factorisation must a power that is a multiple of 3 → To be a perfect square, all the primes in a number's prime factorisation must a power that is a multiple of 3 and a multiple of 2, ie the power must be a multiple of 6 The smallest prime is 2 2⁶ = 64 = (2³)² = 8² = (2²)³ = 4³ 2¹² = 4096 (too large) 3⁶ = 729 (too large) There is also 1 = 1² = 1³ Thus the whole numbers less than 100 which are both perfect squares and perfect cubes are 1 and 64.
There is only one perfect cube number less than 200 whose square root is rational Write down that number?
There are two answers 1 and 64
The only cube that is one less than a square?
eight
Which number is the only cube one less less than a square?
eight ( 8 )
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
What is the perfect cube that is less than to 125?
It is 64 which is also a square number
What natural numbers less than 100 are both perfect squares and perfect cubes?
64 is the square of 8 and the cube of 4.
J is a perfect cube less than or equal to 125?
125 is a perfect cube because 5*5*5 = 125
What whole number is less than 100 that is both a perfect square and a perfect cube?
To be a perfect square, all the primes in a number's prime factorisation must have an even power To be a perfect cube, all the primes in a number's prime factorisation must a power that is a multiple of 3 → To be a perfect square, all the primes in a number's prime factorisation must a power that is a multiple of 3 and a multiple of 2, ie the power must be a multiple of 6 The smallest prime is 2 2⁶ = 64 = (2³)² = 8² = (2²)³ = 4³ 2¹² = 4096 (too large) 3⁶ = 729 (too large) There is also 1 = 1² = 1³ Thus the whole numbers less than 100 which are both perfect squares and perfect cubes are 1 and 64.
There is only one perfect cube number less than 200 whose square root is rational Write down that number?
There are two answers 1 and 64
The only cube that is one less than a square?
eight
Which number is the only cube one less less than a square?
eight ( 8 )
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
What is the greatest perfect square ofr 5040?
5040 is not a perfect square. The greatest perfect square less than 5040 is 4900.
What is the only cube that is one less that a square?
LOL, there isn't any!
What is the closet perfect square less that 340?
324
What perfect square is less than 30?
It is 25.
