Question

√(-1-√5)^2+√(-1-√5)^2=?

Answer 1

Ответ: 6.47

Объяснение:

Answer 2

Let's simplify the expression step by step.

Starting with the expression √(-1-√5)^2, we can rewrite it as (-1-√5)^2, since the square root and square cancel each other out:

(-1-√5)^2 = (-1-√5)(-1-√5)

Expanding the expression using the FOIL method (First, Outer, Inner, Last):

(-1-√5)(-1-√5) = 1 + √5 + √5 + 5

Simplifying further:

1 + √5 + √5 + 5 = 6 + 2√5

Now we can substitute this result back into the original expression:

√(-1-√5)^2 + √(-1-√5)^2 = √(6 + 2√5) + √(6 + 2√5)

Since both terms under the square root are the same, we can simplify further by combining them:

√(6 + 2√5) + √(6 + 2√5) = 2√(6 + 2√5)

Therefore, the simplified expression is 2√(6 + 2√5).