Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{32}+\sqrt{196}\end{equation}

2.

Simplify

\begin{equation}\sqrt{256}+\sqrt{16}\end{equation}

3.

Simplify

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

4.

Simplify

\begin{equation}\sqrt{81}-\sqrt{9}\end{equation}

5.

Simplify

\begin{equation}8 \times \sqrt{9}+8 \times \sqrt{9}\end{equation}

6.

Simplify

\begin{equation}\sqrt{9}+\sqrt{2}+\sqrt{9}\end{equation}

7.

Simplify

\begin{equation}\sqrt{(81x)}-\sqrt{(36x)}\end{equation}

8.

Simplify

\begin{equation}\sqrt{(x^{5}+7x^{4})}+\sqrt{(x+7)}\end{equation}

9.

Simplify

\begin{equation}\sqrt{648}+7 \times \sqrt{8}\end{equation}

10.

Simplify

\begin{equation}3 \times \sqrt{10}+10 \times \sqrt{3}\end{equation}

11.

Simplify

\begin{equation}2 \times \sqrt{5}-9 \times \sqrt{5}\end{equation}

12.

Simplify

\begin{equation}10 \times \sqrt{10}+\sqrt{90}\end{equation}

13.

Simplify

\begin{equation}\sqrt{1024} \times \sqrt{27}+\sqrt{64} \times \sqrt{19683}\end{equation}

14.

Simplify

\begin{equation}3\sqrt{(9x)}+\sqrt{(729x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 2\sqrt{(7x)}+16\sqrt{(7x)}\end{equation}

16.

Simplify

\begin{equation}8 \times \sqrt{128}-3 \times \sqrt{512}\end{equation}

17.

Simplify

\begin{equation}\sqrt{80}+\sqrt{(5 \times 25)}+\sqrt{(5 \times 36)}\end{equation}

18.

Simplify

\begin{equation}8 \times \sqrt{6}+10\sqrt{(6x)}+3 \times \sqrt{6}\end{equation}

19.

Simplify

\begin{equation}14\sqrt{(9x)}+4\sqrt{(9x)}+14\sqrt{(9x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(4x)}+7\sqrt{(8x)}+10\sqrt{x}\end{equation}

21.

Simplify using distributive property

\begin{equation}\sqrt{4} \times (\sqrt{3}+\sqrt{27})\end{equation}

22.

Simplify using distributive property

\begin{equation}\sqrt{1000} \times (\sqrt{200}-\sqrt{10})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{2} \times (\sqrt{729}-18)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{3} \times (\sqrt{5}-\sqrt{45})\end{equation}

25.

Simplify using distributive property

\begin{equation}(8-\sqrt{6}) \times (10+\sqrt{6})\end{equation}

26.

Simplify using distributive property

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

27.

Simplify using distributive property

\begin{equation}(49+\sqrt{3}) \times (7-\sqrt{3})\end{equation}

28.

Simplify using distributive property

\begin{equation}(6+\sqrt{8}) \times (7-\sqrt{8})\end{equation}