Simplify. sqrt 20/49 ______

Apply Quotient Rule: Apply the quotient rule of radicals to sqrt(20/49). sqrt(20/49) = sqrt(20) / sqrt(49)Evaluate sqrt(20): Evaluate sqrt(20). Find the prime factorization of 20 and try to make identical pairs of factors. sqrt(20) = sqrt(4 * 5) = sqrt(2^2 * 5) = 2 * sqrt(5)Find Prime Factorization: Now, let's evaluate sqrt(49). sqrt(49) = sqrt(7^2) = 7Evaluate sqrt(49): Combine the results from the previous steps. sqrt(20/49) = (2 * sqrt(5)) / 7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. $\newline$ $\sqrt{\frac{20}{49}}$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify radical expressions involving fractions

Full solution

Q. Simplify.

\newline

\sqrt{\frac{20}{49}}

Apply Quotient Rule: Apply the quotient rule of radicals to $\sqrt{\frac{20}{49}}$ . $\sqrt{\frac{20}{49}} = \frac{\sqrt{20}}{\sqrt{49}}$
Evaluate $\sqrt{20}$ : Evaluate $\sqrt{20}$ . $\newline$ Find the prime factorization of $20$ and try to make identical pairs of factors. $\newline$ $\sqrt{20} = \sqrt{4 \times 5} = \sqrt{2^2 \times 5}$ $\newline$ = $2 \times \sqrt{5}$
Find Prime Factorization: Now, let's evaluate $\sqrt{49}$ . $\newline$ $\sqrt{49} = \sqrt{7^2}$ $\newline$ = $7$
Evaluate $\sqrt{49}$ : Combine the results from the previous steps. $\sqrt{\frac{20}{49}} = \frac{2 \times \sqrt{5}}{7}$