Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{32}+\sqrt{256}\end{equation}

2.

Simplify

\begin{equation}\sqrt{2560}+\sqrt{40}\end{equation}

3.

Simplify

\begin{equation}\sqrt{16}+\sqrt{512}\end{equation}

4.

Simplify

\begin{equation}\sqrt{144}-\sqrt{4}\end{equation}

5.

Simplify

\begin{equation}6 \times \sqrt{4}+7 \times \sqrt{4}\end{equation}

6.

Simplify

\begin{equation}\sqrt{6}+\sqrt{3}+\sqrt{6}\end{equation}

7.

Simplify

\begin{equation}\sqrt{(100x)}-\sqrt{(36x)}\end{equation}

8.

Simplify

\begin{equation}\sqrt{(x^{5}+6x^{4})}+\sqrt{(x+6)}\end{equation}

9.

Simplify

\begin{equation}\sqrt{490}+9 \times \sqrt{10}\end{equation}

10.

Simplify

\begin{equation}10 \times \sqrt{6}+6 \times \sqrt{10}\end{equation}

11.

Simplify

\begin{equation}9 \times \sqrt{6}-5 \times \sqrt{6}\end{equation}

12.

Simplify

\begin{equation}10 \times \sqrt{7}+\sqrt{700}\end{equation}

13.

Simplify

\begin{equation}\sqrt{4} \times \sqrt{81}+\sqrt{16} \times \sqrt{9}\end{equation}

14.

Simplify

\begin{equation}10\sqrt{(2x)}+\sqrt{(8x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 3\sqrt{(3x)}+18\sqrt{(3x)}\end{equation}

16.

Simplify

\begin{equation}8 \times \sqrt{648}-5 \times \sqrt{512}\end{equation}

17.

Simplify

\begin{equation}\sqrt{81}+\sqrt{(9 \times 16)}+\sqrt{(9 \times 25)}\end{equation}

18.

Simplify

\begin{equation}10 \times \sqrt{4}+5\sqrt{(4x)}+4 \times \sqrt{4}\end{equation}

19.

Simplify

\begin{equation}8\sqrt{(8x)}+16\sqrt{(9x)}+8\sqrt{(8x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(128x)}+9\sqrt{(128x)}+8\sqrt{x}\end{equation}

21.

Simplify using distributive property

\begin{equation}\sqrt{10} \times (\sqrt{3}+\sqrt{27})\end{equation}

22.

Simplify using distributive property

\begin{equation}\sqrt{729} \times (\sqrt{243}-\sqrt{9})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{8} \times (\sqrt{343}-56)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{10} \times (\sqrt{8}-\sqrt{48})\end{equation}

25.

Simplify using distributive property

\begin{equation}(6-\sqrt{10}) \times (7+\sqrt{10})\end{equation}

26.

Simplify using distributive property

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

27.

Simplify using distributive property

\begin{equation}(49+\sqrt{9}) \times (7-\sqrt{9})\end{equation}

28.

Simplify using distributive property

\begin{equation}(2+\sqrt{3}) \times (3-\sqrt{3})\end{equation}