Question

How does finding a cube root differ from finding a square root of a positive integer? how do the answers differ?

Answer 1

The cube root and the square root all have to multiply by itself a certain amount of time to find the number you are trying to find the root of. I know it's hard to understand by word but let's just find the square root of 25. It would equal to 5. And the cube root of 25 would be 2.924017738212866. For square root u have to multiply the root by itself twice to got the original number(5*5=25). And cube root you have to multiply the root by itself three times, 2.924017738212866*2.924017738212866*2.924017738212866=25.00000000000001. But the calculator only goes out so far so it just rounds to 25

Answer 2

⇒The meaning of square root is , if we multiply two same positive integer twice the number or integer we are getting is original number whose square root we have to find, and the unique positive integer which we have multiplied twice is callled square root of that positive integer .

→a × a=a²

`\rightarrow√(a^2)\\\\=√(a * a)\\\\=a`

⇒Similarly, the cube root of an integer means we are multiplying an integer thrice , the single positive integer is called cube root of the Original Positive integer which we have multiplied three times.

→c × c × c=c³

`\rightarrow√(c^3)\\\\=√(c * c * c)\\\\=c`

→Cube root of an Integer is smaller than Square root of the same positive Integer.