Answer :
Sure, I can help you understand the solution to the problem.
To find the remainder in the synthetic division problem, we'll focus on the expression given:
[tex]\[
\sqrt{46 - 3}
\][/tex]
First, let's simplify inside the square root:
[tex]\[
46 - 3 = 43
\][/tex]
So, the problem becomes:
[tex]\[
\sqrt{43}
\][/tex]
Now, let's approximate the square root of 43. The exact square root of 43 is a bit more than 6 (since [tex]\(6^2 = 36\)[/tex]) and a bit less than 7 (since [tex]\(7^2 = 49\)[/tex]). However, for the purposes of this problem, if by "remainder," it was intended to be the integer part of the square of 43 (disregarding the fractional part), then the simplified calculation still holds true.
Thus, the closest integer is taken here determines the intended answer.
However, this step is completed based on the evidence provided from any similar calculations or approximations available — as such leading to:
The correct answer is:
[tex]\[
7
\][/tex]
Answer: A. 7
To find the remainder in the synthetic division problem, we'll focus on the expression given:
[tex]\[
\sqrt{46 - 3}
\][/tex]
First, let's simplify inside the square root:
[tex]\[
46 - 3 = 43
\][/tex]
So, the problem becomes:
[tex]\[
\sqrt{43}
\][/tex]
Now, let's approximate the square root of 43. The exact square root of 43 is a bit more than 6 (since [tex]\(6^2 = 36\)[/tex]) and a bit less than 7 (since [tex]\(7^2 = 49\)[/tex]). However, for the purposes of this problem, if by "remainder," it was intended to be the integer part of the square of 43 (disregarding the fractional part), then the simplified calculation still holds true.
Thus, the closest integer is taken here determines the intended answer.
However, this step is completed based on the evidence provided from any similar calculations or approximations available — as such leading to:
The correct answer is:
[tex]\[
7
\][/tex]
Answer: A. 7
