Find the two smallest perfect square numbers which when multiplied together give a perfect cube

Find two smallest perfect square numbers which when multiplied together gives a perfect cube number.

Posted by Dona | 562 days ago | Tamilnadu Board

Consider the numbers 22 and 42 The numbers are 4 and 16. Their product 4 × 16 = 64 64 = 4 × 4 × 4 ∴ The required square numbers are 4 and 16

Shivam | 562 days ago

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Answer : 4,16

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Find the two smallest perfect square numbers which when multiplied together give a perfect cube

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What is the smallest perfect square and cube?

64 is the smallest perfect square as well as the perfect cube, because 82 = 64 43 = 64. Hope this helps.

Which number is both a perfect square and a perfect cube?

Explanation − 1 and 64 are only numbers from 1 to 100 that are both perfect squares and cubes.

What are 2 perfect squares?

They are 4, 9, 16, 25, 36, 49, 64 and 81. However, there are ten perfect squares from 1 to 10. They are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

How do you find the smallest multiple of a number which is a perfect square?

So, we will multiply the number 2352 with 3 to make it a perfect square. Now, to verify that 3 is the smallest number which is multiplied to 2352 to make it a perfect square, we need to multiply 3 with the number and then find its square root. Hence, the number is a perfect square and the perfect square is 84.