Question

Simplify.

$\sqrt{5}·\sqrt{35}$

Short answer

The simplified form is $\sqrt{5}.\sqrt{35}=5\sqrt{7}$.

Step-by-step solution

Step 1. Given information.

The given expression is$\sqrt{5}.\sqrt{35}$

Step 2. It can be further written as below.

The given expression is $\sqrt{5}.\sqrt{35}$

Then,

$\begin{array}{c}\sqrt{5}.\sqrt{35}=\sqrt{5\times 35}\\ =\sqrt{5\times 5\times 7}\\ =\sqrt{5^2\times 7}\\ =5\sqrt{7}\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $\sqrt{5}.\sqrt{35}=5\sqrt{7}$.