Question

A classmate estimated square root 397 to be about 200. Explain the mistake and correct it

Answer 1

Answer: The mistake is 397 is taken as 400.

Explanation:

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 32 or 3 3. We refer to this as a square because there is a 2 exponent.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolised by the character "√ "

Given:

number= 397

As, the number 397 is very close 400.

and, the root of 400 is 20.

So, by mistaken the student taken the approx. value of 397 with 400.

Then, consider the root of 400 as 20.

Answer 2

Answer: Square root is about ~20, not 200, because
`200^(2) = 40,000`, so square root of 40,000 is 200.