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Order of operationsArithmeticElementary schoolabout 0:42

Evaluate √50 + √18: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 8√2 ≈ 11.3137085.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    50+18\sqrt{50}+\sqrt{18}
  2. 2. Step by step
    1. 50+18\sqrt{50}+\sqrt{18}
      Read the expression
    2. 50+18=82≈11.3137085\sqrt{50}+\sqrt{18} = 8\sqrt{2} \approx 11.3137085
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
  3. 3. The answer
    82≈11.31370858\sqrt{2} \approx 11.3137085

    √50 + √18 = 8√2 ≈ 11.3137085

  4. 4. Check
    • Decimal value: 11.313708499

Transcript

The problem. Here is the problem: the square root of 50 plus the square root of 18. Evaluate a numerical expression.

Step by step. Read the expression. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

The answer. So the answer is 8the square root of 2 approximately 11.3137085. Operations are applied in the standard order: parentheses, exponents, multiplication and division from left to right, then addition and subtraction from left to right.

Check. Decimal value: 11.313708499.

About order of operations

Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.

Evaluate √50 + √18: Order of operations Step-by-Step Lesson