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Simplifying expressionsAlgebraHigh schoolabout 0:42

Simplify sqrt(200): animated lesson

A narrated, step-by-step simplifying expressions video lesson with captions. Final answer: 10√2 ≈ 14.14213562.

SpeedLanguage

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. The problem
Worked example
$\sqrt{200}$
2. Step by step
1. $\sqrt{200}$
  Read the expression
2. $\sqrt{200} = 10\sqrt{2} \approx 14.14213562$
  Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. The answer
$10\sqrt{2} \approx 14.14213562$
sqrt(200) = 10√2 ≈ 14.14213562
4. Check
- Decimal value: 14.1421356237

Transcript

The problem. Here is the problem: sqrt(200). 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 10the square root of 2 approximately 14.14213562. 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: 14.1421356237.

About simplifying expressions

Simplify algebraic and rational expressions by collecting like terms and cancelling common factors.

Simplify sqrt(200): Simplifying expressions Lesson