QuestionCalculate the value of $\sqrt{3} \times \sqrt{12}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two square roots $\sqrt{3}$ and $\sqrt{12}$ . . The multiplication of square roots follows the rule $\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$ .

STEP 2

Apply the multiplication rule for square roots to the given problem.
$\sqrt{} \times \sqrt{12} = \sqrt{ \times12}$

STEP 3

Calculate the product inside the square root.
$\sqrt{3 \times12} = \sqrt{36}$

STEP 4

Calculate the square root of36.
$\sqrt{36} =6$ So, $\sqrt{3} \times \sqrt{12} =6$ .

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