1. The problem asks to express each number as a power with exponent $\frac{1}{2}$ and then write the answer as a radical.
2. Recall that raising a number to the power $\frac{1}{2}$ is equivalent to taking the square root: $$a^{\frac{1}{2}} = \sqrt{a}$$
3. Now, apply this to each number:
a) $2^{\frac{1}{2}} = \sqrt{2}$
b) $4^{\frac{1}{2}} = \sqrt{4}$
c) $10^{\frac{1}{2}} = \sqrt{10}$
d) $3^{\frac{1}{2}} = \sqrt{3}$
e) $5^{\frac{1}{2}} = \sqrt{5}$
4. Simplify the radicals where possible:
- $\sqrt{4} = 2$
5. Final answers:
a) $2^{\frac{1}{2}} = \sqrt{2}$
b) $4^{\frac{1}{2}} = \sqrt{4} = 2$
c) $10^{\frac{1}{2}} = \sqrt{10}$
d) $3^{\frac{1}{2}} = \sqrt{3}$
e) $5^{\frac{1}{2}} = \sqrt{5}$
Power Radical F4Fe27
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.