Sure, let's solve the given mathematical expression step by step.
We start with the expression:
[tex]\[ \sqrt{97453 \cdot \frac{312}{2}} \][/tex]
1. Simplify the fraction inside the expression:
[tex]\[
\frac{312}{2} = 156
\][/tex]
2. Multiply the result of the fraction by 97453:
[tex]\[
97453 \cdot 156 = 15,202,668
\][/tex]
3. Take the square root of the resulting product:
[tex]\[
\sqrt{15,202,668}
\][/tex]
4. The value of the square root is approximately:
[tex]\[
3899.06
\][/tex]
So, the values we derived are:
- The value inside the square root: [tex]\(15,202,668\)[/tex]
- The square root result: approximately [tex]\(3899.06\)[/tex]
