Question

√-14 x √18 Please write with steps

Answer 1

Answer:

$6i\sqrt{7}$

Step-by-step explanation:

One can multiply the two radicles by multiplying the values under the radicals, then taking out perfect squares. In essence;

$\sqrt{-14}{*\sqrt{18}$

$=\sqrt{(-14)(18)}$

$= \sqrt{-252}$

Rewrite such that is expressed perfect square factors in the number,

$\sqrt{(-1)(9)(4)(7)}$

Take out the factors,

$3 * 2*\sqrt{(-1)(7)}$

Simplify,

$6\sqrt{(-1)(7)}$

Remember the square root of negative one can be signified by the character ($i$), therefore, one can take it out from the radical.

$6i\sqrt{7}$