Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{810}+\sqrt{441}\end{equation}

2.

Simplify

\begin{equation}\sqrt{270}+\sqrt{30}\end{equation}

3.

Simplify

\begin{equation}\sqrt{512}+\sqrt{1024}\end{equation}

4.

Simplify

\begin{equation}\sqrt{320}-\sqrt{5}\end{equation}

5.

Simplify

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

6.

Simplify

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

7.

Simplify

\begin{equation}\sqrt{(25x)}-\sqrt{(49x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{12}+8 \times \sqrt{3}\end{equation}

10.

Simplify

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

11.

Simplify

\begin{equation}9 \times \sqrt{3}-5 \times \sqrt{3}\end{equation}

12.

Simplify

\begin{equation}10 \times \sqrt{5}+\sqrt{405}\end{equation}

13.

Simplify

\begin{equation}\sqrt{512} \times \sqrt{6561}+\sqrt{1024} \times \sqrt{19683}\end{equation}

14.

Simplify

\begin{equation}9\sqrt{(3x)}+\sqrt{(27x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 3\sqrt{(5x)}+15\sqrt{(5x)}\end{equation}

16.

Simplify

\begin{equation}9 \times \sqrt{384}-3 \times \sqrt{216}\end{equation}

17.

Simplify

\begin{equation}\sqrt{63}+\sqrt{(7 \times 16)}+\sqrt{(7 \times 25)}\end{equation}

18.

Simplify

\begin{equation}7 \times \sqrt{5}+7\sqrt{(5x)}+6 \times \sqrt{5}\end{equation}

19.

Simplify

\begin{equation}14\sqrt{(5x)}+12\sqrt{(4x)}+14\sqrt{(5x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(16x)}+10\sqrt{(32x)}+2\sqrt{x}\end{equation}

21.

Simplify using distributive property

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

22.

Simplify using distributive property

\begin{equation}\sqrt{729} \times (\sqrt{162}-\sqrt{9})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{7} \times (\sqrt{343}-49)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{9} \times (\sqrt{2}-\sqrt{4})\end{equation}

25.

Simplify using distributive property

\begin{equation}(8-\sqrt{6}) \times (5+\sqrt{6})\end{equation}

26.

Simplify using distributive property

\begin{equation}(9-\sqrt{5}) \times (9+\sqrt{5})\end{equation}

27.

Simplify using distributive property

\begin{equation}(100+\sqrt{6}) \times (10-\sqrt{6})\end{equation}

28.

Simplify using distributive property

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