Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{162}+\sqrt{225}\end{equation}

2.

Simplify

\begin{equation}\sqrt{10000}+\sqrt{100}\end{equation}

3.

Simplify

\begin{equation}\sqrt{16}+\sqrt{128}\end{equation}

4.

Simplify

\begin{equation}\sqrt{448}-\sqrt{7}\end{equation}

5.

Simplify

\begin{equation}9 \times \sqrt{6}+7 \times \sqrt{6}\end{equation}

6.

Simplify

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

7.

Simplify

\begin{equation}\sqrt{(36x)}-\sqrt{(9x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{216}+10 \times \sqrt{6}\end{equation}

10.

Simplify

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

11.

Simplify

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

12.

Simplify

\begin{equation}5 \times \sqrt{9}+\sqrt{576}\end{equation}

13.

Simplify

\begin{equation}\sqrt{512} \times \sqrt{27}+\sqrt{16} \times \sqrt{6561}\end{equation}

14.

Simplify

\begin{equation}6\sqrt{(4x)}+\sqrt{(64x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 2\sqrt{(9x)}+4\sqrt{(9x)}\end{equation}

16.

Simplify

\begin{equation}7 \times \sqrt{250}-6 \times \sqrt{1000}\end{equation}

17.

Simplify

\begin{equation}\sqrt{8}+\sqrt{(2 \times 9)}+\sqrt{(2 \times 16)}\end{equation}

18.

Simplify

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

19.

Simplify

\begin{equation}12\sqrt{(8x)}+12\sqrt{(2x)}+12\sqrt{(8x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(16x)}+5\sqrt{(1024x)}+3\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{1000} \times (\sqrt{1000}-\sqrt{10})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{5} \times (\sqrt{343}-35)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{5} \times (\sqrt{5}-\sqrt{30})\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}(4-\sqrt{2}) \times (4+\sqrt{2})\end{equation}

27.

Simplify using distributive property

\begin{equation}(9+\sqrt{6}) \times (3-\sqrt{6})\end{equation}

28.

Simplify using distributive property

\begin{equation}(2+\sqrt{5}) \times (6-\sqrt{5})\end{equation}