Certainly! Let's break down the problem step-by-step to find the value of [tex]\( \sqrt[3]{37} + 10 \)[/tex].
1. Calculate the cube root of 37:
The cube root of a number [tex]\( x \)[/tex] is a number [tex]\( y \)[/tex] such that [tex]\( y^3 = x \)[/tex]. In this case, we need to find [tex]\( \sqrt[3]{37} \)[/tex].
After performing the calculation, the cube root of 37 is approximately:
[tex]\[
\sqrt[3]{37} \approx 3.332221851645953
\][/tex]
2. Add 10 to the cube root of 37:
Next, we take the result from the first step and add 10 to it.
[tex]\[
3.332221851645953 + 10
\][/tex]
3. Perform the addition calculation:
Adding 10 to the cube root of 37, we have:
[tex]\[
3.332221851645953 + 10 = 13.332221851645953
\][/tex]
Therefore, the final result for [tex]\( \sqrt[3]{37} + 10 \)[/tex] is approximately [tex]\( 13.332221851645953 \)[/tex].
