Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find each square root. Where necessary, round to the nearest 100th:

sqrt((4)/(40))

Find each square root. Where necessary, round to the nearest 100100th:\newline440 \sqrt{\frac{4}{40}}

Full solution

Q. Find each square root. Where necessary, round to the nearest 100100th:\newline440 \sqrt{\frac{4}{40}}
  1. Simplify Fraction: First, simplify the fraction 440\frac{4}{40} by dividing both the numerator and the denominator by their greatest common divisor, which is 44. \newline4÷4=14 \div 4 = 1\newline40÷4=1040 \div 4 = 10\newlineSo, 440\frac{4}{40} simplifies to 110\frac{1}{10}.
  2. Find Square Root: Now, find the square root of the simplified fraction, which is 110\sqrt{\frac{1}{10}}.
  3. Calculate Approximation: The square root of 11 is 11, and the square root of 1010 is approximately 3.16233.1623. So, 110\sqrt{\frac{1}{10}} is approximately 13.1623\frac{1}{3.1623}.
  4. Divide Numbers: To divide 11 by 3.16233.1623, we get approximately 0.316230.31623.
  5. Round to Nearest Hundredth: Finally, round the result to the nearest hundredth. 0.316230.31623 rounded to the nearest hundredth is 0.320.32.

More problems from Roots of rational numbers