Subjects algebra

Power Radical F4Fe27

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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) $5^{\frac{1}{2}} = \sqrt{5}$