Question

select the correct answer. which expression is equivalent to $13\sqrt{22b} - 10\sqrt{22b}$, if $b > 0$? \\(\bigcirc\\) a. $23\sqrt{22b}$ \\(\bigcirc\\) b. $130\sqrt{22b}$ \\(\bigcirc\\) c. $3\sqrt{b^2}$ \\(\bigcirc\\) d. $3\sqrt{22b}$

Explanation:

Step1: Identify like radical terms

Both terms have $\sqrt{22b}$ as the radical part.

Step2: Subtract coefficients

Subtract the numerical coefficients of the like radicals:
$13 - 10 = 3$

Step3: Attach the common radical

Multiply the result from Step2 by the common radical $\sqrt{22b}$:
$3 \times \sqrt{22b} = 3\sqrt{22b}$

Answer:

D. $3\sqrt{22b}$