Problem 34
Question
Add or subtract terms whenever possible. $$8 \sqrt{5}+11 \sqrt{5}$$
Step-by-Step Solution
Verified Answer
The simplified term is \(19 \sqrt{5}\)
1Step 1: Identify the Like Terms
In this case, both \(8 \sqrt{5}\) and \(11 \sqrt{5}\) are like terms because they contain the same radicand, which is 5.
2Step 2: Addition of Like Terms
Next, perform the mathematical operation. Since the operation here is addition, add the numbers in front of the square roots together keeping the radicand unchanged. This gives \(8 + 11 = 19\). Therefore, the simplification of \(8 \sqrt{5} + 11 \sqrt{5}\) is \(19 \sqrt{5}\).
Other exercises in this chapter
Problem 33
Simplify each exponential expression in Exercises 23–64. $$\left(x^{-5}\right)^{3}$$
View solution Problem 33
Find the union of the sets. \(\\{ a, e, i, o, u\\} \cup \varnothing\)
View solution Problem 34
Factor each trinomial, or state that the trinomial is prime. $$ 15 x^{2}-19 x+6 $$
View solution Problem 34
Add or subtract as indicated. $$\frac{3 x+2}{3 x+4}+\frac{3 x+6}{3 x+4}$$
View solution