Help me please I only have four questions I did some of it

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DMarje

11.10.2020

Mathematics

The answer is $5\sqrt{13}$ ======completely break down (factor) $325$ into primes.325 / 5 = 65, so 5 is a factor. we currently have 5.65 / 5 = 13, so 5 is another factor. we currently have 5 × 5 = 5²13 is a prime number.so the factorization of 325 is $5^2 \cdot 13$ .rewrite $325$ as $5^2 \cdot 13$ $\sqrt{325} = \sqrt{5^2 \cdot 13}$ there's a property of radicals: $\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$ , so applying this $\begin{aligned} \sqrt{325}& = \sqrt{5^2 \cdot 13} \\ & = \sqrt{5^2} \cdot \sqrt{13} \\ & = 5 \sqrt{13} \end{aligned}$

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