Problem 33
Question
Add or subtract terms whenever possible. $$7 \sqrt{3}+6 \sqrt{3}$$
Step-by-Step Solution
Verified Answer
The sum of \(7 \sqrt{3} + 6 \sqrt{3}\) is \(13 \sqrt{3}\).
1Step 1: Identify Like Terms
In the given expression \(7 \sqrt{3}+6 \sqrt{3}\), both terms are like terms because they contain the same radical, \(\sqrt{3}\).
2Step 2: Add Like Terms
When adding like terms, add the coefficients of the terms together while keeping the common radical. So, \(7 \sqrt{3} + 6 \sqrt{3} = (7+6) \sqrt{3} = 13 \sqrt{3}\).
Other exercises in this chapter
Problem 32
Simplify each exponential expression in Exercises 23–64. $$\left(x^{11}\right)^{5}$$
View solution Problem 32
Find the union of the sets. \(\\{0,1,3,5\\} \cup\\{2,4,6\\}\)
View solution Problem 33
Factor each trinomial, or state that the trinomial is prime. $$ 20 x^{2}+27 x-8 $$
View solution Problem 33
Add or subtract as indicated. $$\frac{4 x+1}{6 x+5}+\frac{8 x+9}{6 x+5}$$
View solution