Enter a fraction, select the root degree, and quickly calculate the result.
A fraction is a number composed of two integers, usually written as \( \frac{a}{b} \), where \( a \) is the numerator and \( b \) is the denominator. A mixed number is a number made up of an integer part and a regular fraction, such as \( 1 \frac{1}{2} \).
Given a fraction and the root degree, the calculation steps are as follows:
Solution:
Compute:
\( x = \sqrt[2]{\frac{16}{9}} = \frac{\sqrt{16}}{\sqrt{9}} = \frac{4}{3} \)
Conclusion: The square root of \( \frac{16}{9} \) is \( \frac{4}{3} \).
Solution:
Compute:
\( x = \sqrt[3]{\frac{27}{64}} = \frac{\sqrt[3]{27}}{\sqrt[3]{64}} = \frac{3}{4} \)
Conclusion: The cube root of \( \frac{27}{64} \) is \( \frac{3}{4} \).
Solution:
Convert the mixed number to an improper fraction:
\( 2 \frac{1}{4} = \frac{9}{4} \)
Compute:
\( x = \sqrt[2]{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} = \frac{3}{2} \)
Conclusion: The square root of \( 2 \frac{1}{4} \) is \( \frac{3}{2} \).