Question

How would you simplify √12⋅a3⋅b4?

Answer 1

Answer : 24√3ab

Step by step explanation :

$\sqrt{12} a \times 3b \times 4$

Simplify the radical. Find out the perfect square.

$= > \sqrt{2 {}^{2} \times 3 } a \times 3b \times 4$

The root of a product is equal to the product of the roots of each factor.

$= > \sqrt{2 {}^{2} } \sqrt{3} a \times 3b \times 4$

Reduce the index of the radical and exponent with 2

$= > 2 \sqrt{3} a \times 3b \times 4$

Calculate the product by multiplying the numbers.

$= > 24 \sqrt{3} ab$