the square root of 5
the square root of 49
the square root of 400
the square root of 40
the square root of 4

What is the square root of 50?

The square root of 50 (√50) is an irrational number, meaning it cannot be expressed as a simple fraction. Here's what we know about it:

  • Simplified Radical Form: We can simplify it by factoring 50: 50 = 25 * 2. Since 25 is a perfect square (5²), we can simplify √50 to 5√2. This is its most common and simplified representation.

  • Approximate Decimal Value: √50 is approximately 7.071. This is just an approximation; the decimal representation goes on forever without repeating.

  • Relationship to other numbers: It's between 7 and 8, closer to 7. It's also related to the golden ratio (approximately 1.618) through various mathematical manipulations.

In short, while we can't write it exactly as a decimal or fraction, 5√2 is the most precise and concise way to represent the square root of 50.

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