Question

Alejandro was picked by his teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the board. was he correct? explain your reasoning

Answer 1

Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.

What is the integer that has the square root closest to n, without going over?

The integer that has square root n is given by:

S(n) = n².

Hence the integer that has a square root closest to n is given by:

C(n) = n² - 1.

In this problem, we want the square root closest to n = 7, hence:

C(7) = 7² - 1 = 48.

Which is a different value than 52, hence Alejandro is not correct.

More can be learned about square roots at https://brainly.com/question/27678604

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