Question

How do you simplify √2412√8?

Answer 1

Answer : 138.91004

Step by step explanation :

$\sqrt{2412} \sqrt{8}$

Calculate the product. The product of the roots with the same index is equal to the root of the product.

$= > \sqrt{2412 \times 8}$

Multiply the numbers

$= > \sqrt{19296}$

Simplify the radicle. Factor out the perfect square.

$= > \sqrt{12 {}^{2} \times 134}$

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

$= > \sqrt{12 {}^{2} } \sqrt{134}$

Reduce the index of the radical and exponent with 2.

$= > 12 \sqrt{134}$

$= > 138.91004$