Question

√-14 x √18

Please write with steps

Answer 1

`6i√(7)`

Explanation:

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

`√(-14){*√(18)\\`

`=√((-14)(18))`

`= √(-252)`

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

`√((-1)(9)(4)(7))`

Take out the factors,

`3 * 2*√((-1)(7))`

Simplify,

`6√((-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√(7)`