Add. Write your answer in simplest form. -4sqrt 2 + 10sqrt 2 ______

Combine Like Terms: Combine the like terms -4 sqrt(2) and 10 sqrt(2). Since both terms have the same radical part, sqrt(2), we can add the coefficients directly. -4 sqrt(2) + 10 sqrt(2) = (-4 + 10) sqrt(2)Simplify Expression: Simplify the expression (-4 + 10) sqrt(2). Calculate the sum of the coefficients: -4 + 10 = 6. So, the expression becomes 6 sqrt(2).Check for Further Simplification: Check for any further simplification. The term 6 sqrt(2) is already in its simplest form since 6 is an integer and sqrt(2) cannot be simplified further.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. Write your answer in simplest form. $\newline$ $-4\sqrt{2} + 10\sqrt{2}$

View step-by-step help

Home

Math Problems

Algebra 1

Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-4\sqrt{2} + 10\sqrt{2}

Combine Like Terms: Combine the like terms $-4 \sqrt{2}$ and $10 \sqrt{2}$ . Since both terms have the same radical part, $\sqrt{2}$ , we can add the coefficients directly. $-4 \sqrt{2} + 10 \sqrt{2} = (-4 + 10) \sqrt{2}$
Simplify Expression: Simplify the expression $(-4 + 10) \sqrt{2}$ . $\newline$ Calculate the sum of the coefficients: $-4 + 10 = 6$ . $\newline$ So, the expression becomes $6 \sqrt{2}$ .
Check for Further Simplification: Check for any further simplification. $\newline$ The term $6 \sqrt{2}$ is already in its simplest form since $6$ is an integer and $\sqrt{2}$ cannot be simplified further.