Question

Please simply:
(25)^1/2 × (5)^1/2

Answer 1

Given $(25)^{\frac{1}{2}}\times 5^{\frac{1}{2}}$

=$(5^{2})^{\frac{1}{2}}\times 5^{\frac{1}{2}}$

=$5\times5^{\frac{1}{2}}$

=$5^{1+\frac{1}{2}}$

= $5^{\frac{(2+1)}{2}}$

=$5^{\frac{3}{2}}$

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