Simplify:2 square root of 4 + 2 square root of 8?
4+4 square root of 2?
2√4 + 2√8 = 4 + √12
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To simplify the expression 2√4 + 2√8, we can use the properties of square roots.
First, let's simplify the square roots. The square root of 4 is equal to 2 because 2 * 2 = 4.
Next, let's simplify the square root of 8. We can break down 8 into its prime factorization: 8 = 2 * 2 * 2. Taking the square root of this, we can take one factor of 2 outside the square root and leave the remaining 2 inside. So, the square root of 8 is equal to 2√2.
Now, we substitute these simplified square roots back into the original expression:
2√4 + 2√8 = 2 * 2 + 2 * 2√2 = 4 + 4√2.
Therefore, the simplified form of the expression 2√4 + 2√8 is 4 + 4√2.