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

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

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

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Math Problems

Algebra 2

Evaluate rational exponents

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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. $\newline$ $5/11$