Question

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

Answer 1

Considering that the square root of 49 is 7, and 52 > 49, Alejandro was not correct, as the correct integer is of 48.

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 closest is given by:

C(n) = n² - 1.

In this problem, we have n = 7, hence:

C(7) = 7² - 1 = 48.

Which means that Alejandro was not correct.

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

#SPJ1