Question

How do you multiply 3⋅√2⋅√14⋅x?

Answer 1

Answer: 15.87451 × x

Step by step explanation :

$3 \times \sqrt{2} \times \sqrt{14} \times x$

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

$= > 3 \sqrt{28} x$

Simplify the radical. Find out the perfect square. The root of a product is equal to the product of the roots of each factor.

Reduce the index of the radical and exponent with 2.

$= > 3 \times 2 \sqrt{7} x$

Calculate the product by multiplying the numbers.

$= > 6 \sqrt{7} x$

$= > 15.87451 \times x$