Divide 8√6/2. Provide an exact answer
To divide 8√6/2, we divide both the numerator and denominator by 2:
(8√6) / 2 = 4√6
To divide 8√6/2, follow these steps:
Step 1: Simplify the expression inside the square root (radical).
√6 = √(2 × 3) = √2√3 = √2√3
Step 2: Simplify the expression under the square root (radical) further, if possible.
The square root of 2 cannot be simplified further, so we leave it as √2√3.
Step 3: Rewrite the expression without the square root notation.
8√6 = 8(√2√3)
Step 4: Divide the expression by 2.
8(√2√3) / 2 = 4(√2√3)
Step 5: Multiply the numbers outside the square root (radical) and combine them, if possible.
4√2√3 = 4√6
Therefore, the exact answer to 8√6/2 is 4√6.
To simplify the given expression and provide an exact answer, we can follow the steps below:
Step 1: Simplify the expression within the square root.
√6 = √(2×3) = √2 × √3 = √2√3 = √6
Step 2: Rewrite the expression with the simplified square root:
8√6/2 = 8(√6)/2
Step 3: Divide the numerator by the denominator:
8(√6)/2 = (8/2)√6 = 4√6
Therefore, the exact answer is 4√6.