Solve 2.5 * (8/2)^(1/2)
Understand the Problem
The question is asking to solve the mathematical expression. We need to simplify the expression by first evaluating the fraction inside parentheses, then raising it to the power of 1/2 (square root), and finally multiplying the result by 2.5.
Answer
$5$
Answer for screen readers
$5$
Steps to Solve
- Simplify the fraction inside the parentheses Divide 8 by 2 to get 4:
$\frac{8}{2} = 4$
- Evaluate the power Raise the result from step 1 to the power of 1/2, which is equivalent to taking the square root:
$4^{1/2} = \sqrt{4} = 2$
- Multiply by 2.5 Multiply the result from step 2 by 2.5:
$2.5 \times 2 = 5$
$5$
More Information
The expression $x^{1/2}$ means the square root of $x$, $\sqrt{x}$.
Tips
A common mistake is to multiply 2.5 by 8 before dividing by 2, which violates the order of operations. The order of operations (PEMDAS/BODMAS) dictates that we must first simplify what is inside the parenthesis, then exponents, multiplication and division, and finally addition and subtraction.
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