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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 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).
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.
What is the root word for infraction?
The root word for "infraction" is "fract" which comes from the Latin word "frangere" meaning "to break."
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.
What is rational powers?
Rational powers refer to expressions of the form (x^{\frac{m}{n}}), where (x) is a base, (m) and (n) are integers, and (n) is a positive integer. This expression can be interpreted as taking the (n)-th root of (x^m), or equivalently, raising (x) to the (m)-th power and then taking the (n)-th root. For example, (x^{\frac{1}{2}}) represents the square root of (x), while (x^{\frac{3}{2}}) represents the square root of (x) cubed. Rational powers are commonly used in algebra and calculus to simplify expressions and solve equations.
What is the derivative of 3 divided by square root x?
To find the derivative of ( \frac{3}{\sqrt{x}} ), we can rewrite it as ( 3x^{-\frac{1}{2}} ). Using the power rule, the derivative is ( -\frac{3}{2} x^{-\frac{3}{2}} ). This can also be expressed as ( -\frac{3}{2\sqrt{x^3}} ).
What is 1.004 as a fraction and then in words?
1.004 as a fraction is ( \frac{1004}{1000} ), which can be simplified to ( \frac{251}{250} ). In words, it can be expressed as "one and four thousand four."
