(49/81)^1/2

Jasonbradley

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Jun 16, 2024

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Simplifying the Square Root of (49/81)

The expression (49/81)^(1/2) represents the square root of 49/81. Here's how to simplify it:

Understanding Square Roots

A square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3 because 3 * 3 = 9.

Simplifying the Expression

1. Separate the Numerator and Denominator: The expression can be rewritten as (49/81)^(1/2) = (49)^(1/2) / (81)^(1/2).

2. Find the Square Roots:

   • The square root of 49 is 7 (7 * 7 = 49).
   • The square root of 81 is 9 (9 * 9 = 81).

3. Combine the Results: Therefore, (49/81)^(1/2) = 7/9.

Conclusion

The simplified form of (49/81)^(1/2) is 7/9. This process demonstrates how to simplify expressions involving square roots and fractions.