Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{288}+\sqrt{384}\end{equation}

2.

Simplify

\begin{equation}\sqrt{5000}+\sqrt{50}\end{equation}

3.

Simplify

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

4.

Simplify

\begin{equation}\sqrt{225}-\sqrt{9}\end{equation}

5.

Simplify

\begin{equation}4 \times \sqrt{2}+2 \times \sqrt{2}\end{equation}

6.

Simplify

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

7.

Simplify

\begin{equation}\sqrt{(4x)}-\sqrt{(49x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{729}+2 \times \sqrt{9}\end{equation}

10.

Simplify

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

11.

Simplify

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

12.

Simplify

\begin{equation}5 \times \sqrt{2}+\sqrt{32}\end{equation}

13.

Simplify

\begin{equation}\sqrt{64} \times \sqrt{59049}+\sqrt{512} \times \sqrt{6561}\end{equation}

14.

Simplify

\begin{equation}8\sqrt{(8x)}+\sqrt{(512x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 7\sqrt{(7x)}+14\sqrt{(7x)}\end{equation}

16.

Simplify

\begin{equation}3 \times \sqrt{490}-9 \times \sqrt{1000}\end{equation}

17.

Simplify

\begin{equation}\sqrt{108}+\sqrt{(3 \times 49)}+\sqrt{(3 \times 64)}\end{equation}

18.

Simplify

\begin{equation}8 \times \sqrt{5}+8\sqrt{(5x)}+3 \times \sqrt{5}\end{equation}

19.

Simplify

\begin{equation}6\sqrt{(9x)}+4\sqrt{(9x)}+6\sqrt{(9x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(1024x)}+4\sqrt{(64x)}+10\sqrt{x}\end{equation}

21.

Simplify using distributive property

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

22.

Simplify using distributive property

\begin{equation}\sqrt{216} \times (\sqrt{324}-\sqrt{6})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{3} \times (\sqrt{8}-6)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{8} \times (\sqrt{8}-\sqrt{72})\end{equation}

25.

Simplify using distributive property

\begin{equation}(5-\sqrt{9}) \times (7+\sqrt{9})\end{equation}

26.

Simplify using distributive property

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

27.

Simplify using distributive property

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

28.

Simplify using distributive property

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