State whether the following statement is true or false:
$\sqrt{3} \times \sqrt{5} = \sqrt{8}$
$\sqrt{3} \times \sqrt{5} = \sqrt{8}$
(B) The statement is False.
According to the laws of radicals,for any positive real numbers $a$ and $b$,$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$.
Applying this rule: $\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}$.
Since $\sqrt{15} \neq \sqrt{8}$,the given statement is false.
According to the laws of radicals,for any positive real numbers $a$ and $b$,$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$.
Applying this rule: $\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}$.
Since $\sqrt{15} \neq \sqrt{8}$,the given statement is false.
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