Question

how to find the estimation of cube and cube roots even for the square and square roots the code
like
1=1
2=8

Answer 1

Answer:

Hello!!!!

Step-by-step explanation:

I hope this may help you

Cube Numbers

If a natural number m can be expressed as n3, where n is also a natural number, then m is called the cube number of n.

Numbers like 1, 8, 27  are cube number of the numbers 1, 2, and 3 respectively.

All perfect cube numbers are obtained by multiplying a number by itself three times.

Cubes Relation with Cube Numbers

In geometry, a cube is a solid figure where all edges are equal and are perpendicular to each other.

For example, take a cube of unit side. If we arrange these cubes to form a bigger cube of side 3 units, we find that there are a total of 27 such unit cubes that make up a cube of 3 units. Similarly, a cube of 4 units will have 64 such unit cubes.

Units Digits in Cube Numbers

Depending on whether a number is odd or even, its cube number is also odd or even respectively.

This is determined by the nature of the cube numbers’ unit digit.

If a number is odd, its cube numbers’ unit digit is also odd.

If a number is even, its cube numbers’ unit digit is also even.

Prime Factorisation Method to Find a Cube

In the prime factorisation of any number, if each prime factor appears three times, then the number is a perfect cube.

Consider, the number 216. By prime factorisation,

216=2×2×2×3×3×3=23×33=63

Hence, 216 is a perfect cube.

Consider, the number 500. By prime factorisation,

500=2×2×5×5×5=22×53

In the above prime factorisation 2 appears twice.

Hence, 500 is not a perfect cube.

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