Simplify. sqrt 28/9 ______

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to sqrt(28/9). sqrt(28/9) = sqrt(28) / sqrt(9)Evaluate sqrt(28): Evaluate sqrt(28). Find the prime factorization of 28 and try to make identical pairs of factors. sqrt(28) = sqrt(2 * 2 * 7) = 2 * sqrt(7)Find Prime Factorization of 28: Now, let's evaluate sqrt(9). sqrt(9) = sqrt(3 * 3) = 3Evaluate sqrt(9): Combine the results from the previous steps. sqrt(28/9) = (2 * sqrt(7)) / 3

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. $\newline$ $\sqrt{\frac{28}{9}}$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify radical expressions involving fractions

Full solution

Q. Simplify.

\newline

\sqrt{\frac{28}{9}}

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to $\sqrt{\frac{28}{9}}$ . $\sqrt{\frac{28}{9}} = \frac{\sqrt{28}}{\sqrt{9}}$
Evaluate $\sqrt{28}$ : Evaluate $\sqrt{28}$ . $\newline$ Find the prime factorization of $28$ and try to make identical pairs of factors. $\newline$ $\sqrt{28} = \sqrt{2 \times 2 \times 7}$ $\newline$ = $2 \times \sqrt{7}$
Find Prime Factorization of $28$ : Now, let's evaluate $\sqrt{9}$ . $\newline$ $\sqrt{9} = \sqrt{3 \times 3}$ $\newline$ = $3$
Evaluate $\sqrt{9}$ : Combine the results from the previous steps. $\sqrt{\frac{28}{9}} = \frac{2 \cdot \sqrt{7}}{3}$