Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify:
sqrt((5)/(24.2))

Simplify: $\sqrt{\frac{5}{24.2}}$

View step-by-step help

View step-by-step help

Evaluate rational exponents

Full solution

Q. Simplify:

\sqrt{\frac{5}{24.2}}

Simplify Expression: Step $1$ : Write the expression in a simpler form. $\newline$ Simplify the fraction inside the square root. $\newline$ $\sqrt{\frac{5}{24.2}}$
Convert Decimal to Fraction: Step $2$ : Convert the decimal in the denominator to a fraction. $\newline$ $24.2$ can be written as $\frac{242}{10}$ . $\newline$ $\sqrt{\frac{5}{\frac{242}{10}}}$
Reduce Fraction: Step $3$ : Simplify the fraction inside the square root. $\sqrt{\left(\frac{5 \times 10}{242}\right)}$
Take Square Root: Step $4$ : Reduce the fraction inside the square root. $50$ and $242$ share a common factor of $2$ . $\sqrt{(\frac{25}{121})}$
Calculate Final Result: Step $5$ : Take the square root of the numerator and the denominator. $\newline$ $\sqrt{25}/\sqrt{121}$
Calculate Final Result: Step $5$ : Take the square root of the numerator and the denominator. $\newline$ $\sqrt{25}/\sqrt{121}$ Step $6$ : Calculate the square roots. $\newline$ $5/11$

More problems from Evaluate rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 2 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 1 month ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 1 month ago

Question

\newline

32^{(-1/5)}

Posted 1 month ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 month ago