Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{441}+\sqrt{700}\end{equation}

2.

Simplify

\begin{equation}\sqrt{1029}+\sqrt{21}\end{equation}

3.

Simplify

\begin{equation}\sqrt{256}+\sqrt{512}\end{equation}

4.

Simplify

\begin{equation}\sqrt{324}-\sqrt{4}\end{equation}

5.

Simplify

\begin{equation}8 \times \sqrt{2}+9 \times \sqrt{2}\end{equation}

6.

Simplify

\begin{equation}\sqrt{3}+\sqrt{8}+\sqrt{3}\end{equation}

7.

Simplify

\begin{equation}\sqrt{(64x)}-\sqrt{(25x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{600}+7 \times \sqrt{6}\end{equation}

10.

Simplify

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

11.

Simplify

\begin{equation}9 \times \sqrt{7}-2 \times \sqrt{7}\end{equation}

12.

Simplify

\begin{equation}2 \times \sqrt{6}+\sqrt{96}\end{equation}

13.

Simplify

\begin{equation}\sqrt{256} \times \sqrt{6561}+\sqrt{32} \times \sqrt{59049}\end{equation}

14.

Simplify

\begin{equation}7\sqrt{(10x)}+\sqrt{(1000x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 10\sqrt{(8x)}+80\sqrt{(8x)}\end{equation}

16.

Simplify

\begin{equation}6 \times \sqrt{252}-8 \times \sqrt{343}\end{equation}

17.

Simplify

\begin{equation}\sqrt{700}+\sqrt{(7 \times 121)}+\sqrt{(7 \times 144)}\end{equation}

18.

Simplify

\begin{equation}5 \times \sqrt{4}+2\sqrt{(4x)}+9 \times \sqrt{4}\end{equation}

19.

Simplify

\begin{equation}4\sqrt{(4x)}+14\sqrt{(2x)}+4\sqrt{(4x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(64x)}+7\sqrt{(32x)}+6\sqrt{x}\end{equation}

21.

Simplify using distributive property

\begin{equation}\sqrt{3} \times (\sqrt{2}+\sqrt{8})\end{equation}

22.

Simplify using distributive property

\begin{equation}\sqrt{64} \times (\sqrt{160}-\sqrt{4})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{9} \times (\sqrt{8}-18)\end{equation}

24.

Simplify using distributive property

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

25.

Simplify using distributive property

\begin{equation}(4-\sqrt{6}) \times (4+\sqrt{6})\end{equation}

26.

Simplify using distributive property

\begin{equation}(10-\sqrt{2}) \times (10+\sqrt{2})\end{equation}

27.

Simplify using distributive property

\begin{equation}(49+\sqrt{4}) \times (7-\sqrt{4})\end{equation}

28.

Simplify using distributive property

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