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Add. Write your answer in simplest form. $\newline$ $-10\sqrt{5} + 4\sqrt{5}$

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Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-10\sqrt{5} + 4\sqrt{5}

Combine like terms: Combine the like terms $-10 \sqrt{5}$ and $4 \sqrt{5}$ . Identify the like terms which are the square root terms with the same radicand (number under the square root). $-10 \sqrt{5} + 4 \sqrt{5} = (-10 + 4) \sqrt{5}$
Identify like terms: Simplify the expression $(-10 + 4) \sqrt{5}$ . Perform the addition within the parentheses. $(-10 + 4) \sqrt{5} = -6 \sqrt{5}$

More problems from Add and subtract radical expressions

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What is the total distance Rosie has traveled by the end of the

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Round your final answer to the nearest kilometer.

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\mathrm{km}

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What is the total distance the monkey has traveled when she completes her

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Question

S E=\frac{\sigma}{\sqrt{n}}

\newline

The given equation relates the standard error,

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1

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n=\left(\frac{\sigma}{S E}\right)^{2}

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n=\frac{\sigma^{2}}{S E}

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n=\sqrt{\left(\frac{\sigma}{S E}\right)}

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n=\frac{\sqrt{\sigma}}{S E}

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Question

Avery is designing a large rectangular sign. They want the sign to have an area of

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How tall should the sign be?

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The bacteria in a Petri dish culture are self-duplicating at a rapid pace.

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The relationship between the elapsed time

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B(t)=10 \cdot 2^{\frac{t}{12}}

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Round your answer, if necessary, to the nearest hundredth.

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Question

A large brine tank containing a solution of salt and water is being diluted with fresh water.

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S(t)=500 \cdot e^{-0.25 t}

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Question

After the closing of the mill, the town of Sawyerville experienced a decline in its population.

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The relationship between the elapsed time

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\newline

M(t)=20 \cdot e^{-0.8 t}

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Round your answer, if necessary, to the nearest hundredth.

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Question

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Question

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\newline

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