Sure! Let's solve each expression step by step.
### First Expression:
[tex]\[
\sqrt{100(98 - 17)}
\][/tex]
1. Start by performing the operation inside the parentheses:
[tex]\[
98 - 17 = 81
\][/tex]
2. Next, multiply the result by 100:
[tex]\[
100 \times 81 = 8100
\][/tex]
3. Finally, find the square root of 8100:
[tex]\[
\sqrt{8100} = 90
\][/tex]
So, the result for the first expression is:
[tex]\[
\boxed{90}
\][/tex]
### Second Expression:
[tex]\[
\sqrt[3]{\frac{81}{3}}
\][/tex]
1. Start by performing the division inside the radical:
[tex]\[
\frac{81}{3} = 27
\][/tex]
2. Next, find the cube root of 27:
[tex]\[
\sqrt[3]{27} = 3
\][/tex]
So, the result for the second expression is:
[tex]\[
\boxed{3}
\][/tex]
