Question

Вычеслите √12*(√3+√12)

Answer 1

$\tt \sqrt{12}(\sqrt{3}+\sqrt{12})= 2\sqrt{3}(\sqrt{3}+2\sqrt{3})=2\sqrt{3}\cdot3\sqrt{3}=6\cdot3=18$

Answer 2

2√3*(√3+2√3)

2√3*3√3

2*3*3

=18

Answer 3

To calculate the expression √12*(√3+√12), follow these steps:

Step 1: Simplify the terms inside the parentheses (√3+√12): √3 + √12 = √3 + √(4 * 3) = √3 + √4 * √3 = √3 + 2√3 = 3√3.

Step 2: Substitute the simplified expression back into the original expression: √12 * (√3 + √12) = √12 * 3√3.

Step 3: Simplify further by multiplying the square root terms: √12 * 3√3 = 3√(4 * 3) = 3√12.

So, the result of the expression is 3√12.