Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{20}+\sqrt{8}\end{equation}

2.

Simplify

\begin{equation}\sqrt{7000}+\sqrt{70}\end{equation}

3.

Simplify

\begin{equation}\sqrt{1024}+\sqrt{32}\end{equation}

4.

Simplify

\begin{equation}\sqrt{162}-\sqrt{2}\end{equation}

5.

Simplify

\begin{equation}7 \times \sqrt{5}+3 \times \sqrt{5}\end{equation}

6.

Simplify

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

7.

Simplify

\begin{equation}\sqrt{(81x)}-\sqrt{(36x)}\end{equation}

8.

Simplify

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

9.

Simplify

\begin{equation}\sqrt{512}+3 \times \sqrt{8}\end{equation}

10.

Simplify

\begin{equation}7 \times \sqrt{8}+8 \times \sqrt{7}\end{equation}

11.

Simplify

\begin{equation}10 \times \sqrt{6}-2 \times \sqrt{6}\end{equation}

12.

Simplify

\begin{equation}6 \times \sqrt{2}+\sqrt{50}\end{equation}

13.

Simplify

\begin{equation}\sqrt{4} \times \sqrt{729}+\sqrt{8} \times \sqrt{6561}\end{equation}

14.

Simplify

\begin{equation}6\sqrt{(2x)}+\sqrt{(8x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 7\sqrt{(10x)}+35\sqrt{(10x)}\end{equation}

16.

Simplify

\begin{equation}5 \times \sqrt{12}-6 \times \sqrt{27}\end{equation}

17.

Simplify

\begin{equation}\sqrt{384}+\sqrt{(6 \times 81)}+\sqrt{(6 \times 100)}\end{equation}

18.

Simplify

\begin{equation}2 \times \sqrt{6}+5\sqrt{(6x)}+4 \times \sqrt{6}\end{equation}

19.

Simplify

\begin{equation}16\sqrt{(10x)}+20\sqrt{(8x)}+16\sqrt{(10x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(32x)}+9\sqrt{(512x)}+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{8} \times (\sqrt{40}-\sqrt{2})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{7} \times (\sqrt{8}-14)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{3} \times (\sqrt{10}-\sqrt{100})\end{equation}

25.

Simplify using distributive property

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

26.

Simplify using distributive property

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

27.

Simplify using distributive property

\begin{equation}(9+\sqrt{2}) \times (3-\sqrt{2})\end{equation}

28.

Simplify using distributive property

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