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What is the square root of 81 over 49?
The square root of 81 is 9, and the square root of 49 is 7. Therefore, the square root of 81 over 49 can be expressed as (\sqrt{\frac{81}{49}} = \frac{\sqrt{81}}{\sqrt{49}} = \frac{9}{7}). So, the answer is (\frac{9}{7}).
What is the squarer root of 225 over 169?
The square root of 225 is 15, and the square root of 169 is 13. Therefore, the square root of ( \frac{225}{169} ) is ( \frac{15}{13} ).
What is the square root of one over twenty-fifth?
The square root of one over twenty-fifth can be expressed as (\sqrt{\frac{1}{25}}). Since the square root of 25 is 5, we find that (\sqrt{\frac{1}{25}} = \frac{1}{5}). Therefore, the square root of one over twenty-fifth is (\frac{1}{5}).
What is the cubic root a 27 over 125?
The cubic root of a fraction is found by taking the cubic root of the numerator and the denominator separately. For ( \frac{27}{125} ), the cubic root of 27 is 3 (since (3^3 = 27)), and the cubic root of 125 is 5 (since (5^3 = 125)). Therefore, the cubic root of ( \frac{27}{125} ) is ( \frac{3}{5} ).
Square root 36 over 25?
The square root of 36 is 6, and the square root of 25 is 5. Therefore, the expression (\sqrt{\frac{36}{25}}) simplifies to (\frac{6}{5}).
How do you turn a Fraction into a square root?
To turn a fraction into a square root, you take the square root of both the numerator and the denominator separately. For example, for the fraction ( \frac{a}{b} ), its square root can be expressed as ( \sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}} ). This is valid as long as both ( a ) and ( b ) are non-negative, and ( b ) is not zero.
What is the square root of 44 over 2 have?
To find the square root of ( \frac{44}{2} ), first simplify ( \frac{44}{2} ) to get 22. The square root of 22 is approximately 4.69. Therefore, the square root of 44 over 2 is about 4.69.
What is the mathematical formula for calculating the square root of a number?
The mathematical formula for calculating the square root of a number is x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}=x_n-\frac{x_n^2-S}{2x_n}=\frac{1}{2}\left(x_n+\frac{S}{x_n}\right).
Why is the square root of 0.25 rational?
The square root of 0.25 is rational because it can be expressed as a fraction. Specifically, (\sqrt{0.25} = \sqrt{\frac{1}{4}} = \frac{1}{2}). Since (\frac{1}{2}) is a ratio of two integers (1 and 2), it qualifies as a rational number. Therefore, the square root of 0.25 is indeed rational.
How do you calculate nth root?
To calculate the nth root of a number ( x ), you can use the formula ( \sqrt[n]{x} = x^{\frac{1}{n}} ). This means you raise the number ( x ) to the power of ( \frac{1}{n} ). For example, to find the cube root of 8, you would calculate ( 8^{\frac{1}{3}} = 2 ). You can also use a calculator or mathematical software that has a dedicated nth root function.
Which rational exponent represents a square root?
A square root can be represented by the rational exponent of ( \frac{1}{2} ). For any non-negative number ( x ), the square root is expressed as ( x^{1/2} ). This means that taking the square root of ( x ) is equivalent to raising ( x ) to the power of ( \frac{1}{2} ).
The word elements used to form medical words are?
Root words, prefixes, and suffixes are the elements used to form medical words. Prefixes are added to the beginning of a root word, and suffixes are added to the end. These elements can modify the meaning of the root word to create specific medical terms.
