Simplify the following expression.
suare root -104, square root -8
(these two radicals are beside each other without a addition, subtraction, multiplication, or division sign)
√-104 = 2i√26
√-8 = 2i√2
if
suare root -104, square root -8
was intended to be:
(√-104)(√-8)
then
(√-104)(√-8)
=i√104 * i√8
=-√(104*8)
=-√(8²*13)
=-8√13
To simplify the expression with two square roots next to each other, we need to consider the properties of radicals.
Let's start by simplifying each square root individually:
1. √(-104):
When we have a negative number under a square root (√), it is not a real number, as the square root of a negative number is imaginary. Therefore, there is no real number solution for this expression. We can write it as:
√(-104) = undefined
2. √(-8):
Similar to the previous case, since we have a negative number under the square root (√), there is no real number solution. We can write it as:
√(-8) = undefined
So, we cannot simplify the given expression because both square roots have undefined solutions.