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Chapter 0: Problem 36

Add or subtract terms whenever possible. $$4 \sqrt{13 x}-6 \sqrt{13 x}$$

Short Answer

Expert verified
The simplified form of the expression is \(-2 \sqrt{13x}\)

Step by step solution

01

Identify like terms

In the given expression \(4 \sqrt{13x} - 6 \sqrt{13x}\), both terms are general terms of \(\sqrt{13x}\). They are considered like terms as they have the same variable part.
02

Subtract the coefficients

Now we can subtract the coefficients in front of \(\sqrt{13x}\). This means subtracting the numerical part of the terms, which is 4 and -6. Doing so, we get \(-2 \sqrt{13x}\).
03

Simplify if possible

In this case, \(-2 \sqrt{13x}\) is the simplest form of the expression, as there are no like terms left to combine, so we are done.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The trinomial \(x^{2}-4 x-4\) is a prime polynomial.

Find all integers b so that the trinomial can be factored. $$ x^{2}+b x+15 $$

Simplify by reducing the index of the radical. $$\sqrt[3]{x^{6}}$$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$ \frac{1}{2}+\frac{2}{3} $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I simplified the terms of \(2 \sqrt{20}+4 \sqrt{75},\) and then I was able to add the like radicals.
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