Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{45}+\sqrt{192}\end{equation}

2.

Simplify

\begin{equation}\sqrt{1000}+\sqrt{40}\end{equation}

3.

Simplify

\begin{equation}\sqrt{256}+\sqrt{4}\end{equation}

4.

Simplify

\begin{equation}\sqrt{800}-\sqrt{8}\end{equation}

5.

Simplify

\begin{equation}4 \times \sqrt{8}+2 \times \sqrt{8}\end{equation}

6.

Simplify

\begin{equation}\sqrt{5}+\sqrt{6}+\sqrt{5}\end{equation}

7.

Simplify

\begin{equation}\sqrt{(100x)}-\sqrt{(9x)}\end{equation}

8.

Simplify

\begin{equation}\sqrt{(x^{5}+2x^{4})}+\sqrt{(x+2)}\end{equation}

9.

Simplify

\begin{equation}\sqrt{48}+3 \times \sqrt{3}\end{equation}

10.

Simplify

\begin{equation}7 \times \sqrt{10}+10 \times \sqrt{7}\end{equation}

11.

Simplify

\begin{equation}4 \times \sqrt{6}-4 \times \sqrt{6}\end{equation}

12.

Simplify

\begin{equation}7 \times \sqrt{9}+\sqrt{441}\end{equation}

13.

Simplify

\begin{equation}\sqrt{64} \times \sqrt{19683}+\sqrt{64} \times \sqrt{9}\end{equation}

14.

Simplify

\begin{equation}6\sqrt{(9x)}+\sqrt{(729x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 3\sqrt{(6x)}+15\sqrt{(6x)}\end{equation}

16.

Simplify

\begin{equation}9 \times \sqrt{294}-2 \times \sqrt{216}\end{equation}

17.

Simplify

\begin{equation}\sqrt{384}+\sqrt{(6 \times 81)}+\sqrt{(6 \times 100)}\end{equation}

18.

Simplify

\begin{equation}4 \times \sqrt{9}+7\sqrt{(9x)}+2 \times \sqrt{9}\end{equation}

19.

Simplify

\begin{equation}6\sqrt{(4x)}+20\sqrt{(9x)}+6\sqrt{(4x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(512x)}+10\sqrt{(16x)}+10\sqrt{x}\end{equation}

21.

Simplify using distributive property

\begin{equation}\sqrt{8} \times (\sqrt{6}+\sqrt{216})\end{equation}

22.

Simplify using distributive property

\begin{equation}\sqrt{216} \times (\sqrt{180}-\sqrt{6})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{2} \times (\sqrt{64}-8)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{4} \times (\sqrt{9}-\sqrt{90})\end{equation}

25.

Simplify using distributive property

\begin{equation}(5-\sqrt{5}) \times (8+\sqrt{5})\end{equation}

26.

Simplify using distributive property

\begin{equation}(5-\sqrt{3}) \times (5+\sqrt{3})\end{equation}

27.

Simplify using distributive property

\begin{equation}(64+\sqrt{6}) \times (8-\sqrt{6})\end{equation}

28.

Simplify using distributive property

\begin{equation}(4+\sqrt{5}) \times (4-\sqrt{5})\end{equation}