Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{28}+\sqrt{200}\end{equation}

2.

Simplify

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

3.

Simplify

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

4.

Simplify

\begin{equation}\sqrt{243}-\sqrt{3}\end{equation}

5.

Simplify

\begin{equation}4 \times \sqrt{3}+7 \times \sqrt{3}\end{equation}

6.

Simplify

\begin{equation}\sqrt{3}+\sqrt{4}+\sqrt{3}\end{equation}

7.

Simplify

\begin{equation}\sqrt{(100x)}-\sqrt{(64x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{648}+6 \times \sqrt{8}\end{equation}

10.

Simplify

\begin{equation}4 \times \sqrt{9}+9 \times \sqrt{4}\end{equation}

11.

Simplify

\begin{equation}5 \times \sqrt{6}-10 \times \sqrt{6}\end{equation}

12.

Simplify

\begin{equation}9 \times \sqrt{4}+\sqrt{16}\end{equation}

13.

Simplify

\begin{equation}\sqrt{16} \times \sqrt{19683}+\sqrt{16} \times \sqrt{2187}\end{equation}

14.

Simplify

\begin{equation}5\sqrt{(7x)}+\sqrt{(343x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 7\sqrt{(5x)}+63\sqrt{(5x)}\end{equation}

16.

Simplify

\begin{equation}2 \times \sqrt{36}-3 \times \sqrt{729}\end{equation}

17.

Simplify

\begin{equation}\sqrt{252}+\sqrt{(7 \times 49)}+\sqrt{(7 \times 64)}\end{equation}

18.

Simplify

\begin{equation}2 \times \sqrt{9}+8\sqrt{(9x)}+7 \times \sqrt{9}\end{equation}

19.

Simplify

\begin{equation}8\sqrt{(9x)}+10\sqrt{(4x)}+8\sqrt{(9x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(128x)}+6\sqrt{(256x)}+6\sqrt{x}\end{equation}

21.

Simplify using distributive property

\begin{equation}\sqrt{6} \times (\sqrt{8}+\sqrt{512})\end{equation}

22.

Simplify using distributive property

\begin{equation}\sqrt{512} \times (\sqrt{256}-\sqrt{8})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{3} \times (\sqrt{27}-9)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{8} \times (\sqrt{6}-\sqrt{60})\end{equation}

25.

Simplify using distributive property

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

26.

Simplify using distributive property

\begin{equation}(8-\sqrt{9}) \times (8+\sqrt{9})\end{equation}

27.

Simplify using distributive property

\begin{equation}(36+\sqrt{2}) \times (6-\sqrt{2})\end{equation}

28.

Simplify using distributive property

\begin{equation}(4+\sqrt{10}) \times (10-\sqrt{10})\end{equation}