√(8+2√15)
not sure what to do first
What was asked for?
the only thing you can really do is give an approximation, the was it sits
it is a real number in exact form
well, (8+2√15) = (√3+√5)^2
To simplify the expression √(8+2√15), you can follow these steps:
Step 1: Identify any perfect squares within the expression.
In this case, we have 15 inside the square root. The square root of 15 is not a perfect square, but it can be expressed as the product of two factors, one of which is a perfect square.
Step 2: Find the factors of the number inside the square root.
The factors of 15 are 1, 3, 5, and 15.
Step 3: Determine if any factors are perfect squares.
None of the factors are perfect squares.
Step 4: Express the original number using one of the factors.
√(8 + 2√15) can be rewritten as √(8 + 2√(3*5)).
Step 5: Apply the distributive property and simplify.
√(8 + 2√(3*5)) = √(8 + 2√3√5) = √(8 + 2√3√5) = √(8 + 2√3√5)
Step 6: Simplify further if possible.
We cannot simplify the expression any further, so the simplified form of √(8+2√15) is √(8 + 2√(3*5)).