Math Problem Statement

√25-√16/2+2

Solution

To solve this expression:

25162+2\sqrt{25} - \frac{\sqrt{16}}{2} + 2

we'll break it down step-by-step.

  1. Calculate the square roots:

    • 25=5\sqrt{25} = 5
    • 16=4\sqrt{16} = 4

    So, the expression becomes:

    542+25 - \frac{4}{2} + 2

  2. Perform the division:

    • 42=2\frac{4}{2} = 2

    Now, we have:

    52+25 - 2 + 2

  3. Complete the operations in order:

    • 52=35 - 2 = 3
    • 3+2=53 + 2 = 5

The final answer is:

55

Would you like more details, or do you have any questions?


Further questions for practice:

  1. What is the value of 369/3+3\sqrt{36} - \sqrt{9}/3 + 3?
  2. Simplify 49+4×21\sqrt{49} + \sqrt{4} \times 2 - 1.
  3. Evaluate 10025+4\sqrt{100} - \sqrt{25} + \sqrt{4}.
  4. Solve 64164+5\sqrt{64} - \frac{\sqrt{16}}{4} + 5.
  5. Simplify 8193+7\sqrt{81} - \frac{\sqrt{9}}{3} + 7.

Tip: Always follow the order of operations (PEMDAS) carefully to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Order of Operations

Formulas

√a = b, where b^2 = a

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8