Question

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

Explanation:

Step1: Identify like radicals

Both terms have the radical $\sqrt{22b}$, so we can combine them using the distributive property (factoring out the common radical).
The expression is $13\sqrt{22b}-10\sqrt{22b}=(13 - 10)\sqrt{22b}$.

Step2: Subtract the coefficients

Calculate $13-10 = 3$.
So the simplified expression is $3\sqrt{22b}$.

Answer:

D. $3\sqrt{22b}$