Simplify. sqrt 45/49 ______

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to sqrt(45/49). sqrt(45/49) = sqrt(45) / sqrt(49)Evaluate sqrt(45): Evaluate sqrt(45). Find the prime factorization of 45 and try to make identical pairs of factors. sqrt(45) = sqrt(9 * 5) = sqrt(3^2 * 5) = 3 * 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(45/49) = (3 * sqrt(5)) / 7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. $\newline$ $\sqrt{\frac{45}{49}}$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify radical expressions involving fractions

Full solution

Q. Simplify.

\newline

\sqrt{\frac{45}{49}}

Apply Quotient Rule of Radicals: Apply the quotient rule of radicals to $\sqrt{\frac{45}{49}}$ . $\sqrt{\frac{45}{49}} = \frac{\sqrt{45}}{\sqrt{49}}$
Evaluate $\sqrt{45}$ : Evaluate $\sqrt{45}$ . $\newline$ Find the prime factorization of $45$ and try to make identical pairs of factors. $\newline$ $\sqrt{45} = \sqrt{9 \times 5} = \sqrt{3^2 \times 5}$ $\newline$ = $3 \times \sqrt{5}$
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. $\sqrt{\frac{45}{49}} = \frac{3 \cdot \sqrt{5}}{7}$