Square root of 5 whole number 4 over 9
ScanSolve AI Answer
Step-by-step solution
5 stepsThis question asks for the square root of a mixed number.
Convert the mixed number to an improper fraction.
The mixed number is 5 and 4/9.
To convert it to an improper fraction, multiply the whole number (5) by the denominator (9) and add the numerator (4). Keep the same denominator (9).
Improper fraction = (5 × 9 + 4) / 9
Improper fraction = (45 + 4) / 9
Improper fraction = 49/9.Find the square root of the improper fraction.
We need to find √(49/9).
The square root of a fraction is the square root of the numerator divided by the square root of the denominator.
√(49/9) = √49 / √9.Calculate the square roots.
√49 = 7 (since 7 × 7 = 49)
√9 = 3 (since 3 × 3 = 9).Combine the results.
√(49/9) = 7/3.
Convert the improper fraction back to a mixed number (optional, but often preferred for "whole number" context).
To convert 7/3 to a mixed number, divide 7 by 3.
7 ÷ 3 = 2 with a remainder of 1.
So, 7/3 = 2 and 1/3.The square root of 5 whole number 4 over 9 is 7/3 or 2 and 1/3.
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