Question

multiply.
√3⋅√5⋅√7
enter your answer, in radical form, in the box.

Explanation:

Step1: Use radical - multiplication rule

$\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}$
So, $\sqrt{3}\cdot\sqrt{5}\cdot\sqrt{7}=\sqrt{3\times5}\cdot\sqrt{7}$

Step2: Multiply numbers under radicals

$\sqrt{3\times5}\cdot\sqrt{7}=\sqrt{15}\cdot\sqrt{7}=\sqrt{15\times7}$

Step3: Calculate the product

$\sqrt{15\times7}=\sqrt{105}$

Answer:

$\sqrt{105}$