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Add. Write your answer in simplest form. $\newline$ $-6\sqrt{5} + 7\sqrt{5}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-6\sqrt{5} + 7\sqrt{5}

Combine Like Terms: Combine the like terms $-6 \sqrt{5}$ and $7 \sqrt{5}$ . Since both terms have the same radical part, $\sqrt{5}$ , we can combine them by adding their coefficients. $-6 \sqrt{5} + 7 \sqrt{5} = ( -6 + 7 ) \sqrt{5}$
Simplify Expression: Simplify the expression $(-6 + 7) \sqrt{5}$ . Adding the coefficients $-6$ and $7$ gives us $1$ , so the expression simplifies to: $(-6 + 7) \sqrt{5} = 1 \sqrt{5}$ Since $1$ times any number is the number itself, we can write this as: $1 \sqrt{5} = \sqrt{5}$

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