Algebra-1 Problems

11.6 Adding/Substracting Radical Expression


Problem #

Problem Statement

Problems Similar To

1.

Simplify

\begin{equation}\sqrt{160}+\sqrt{400}\end{equation}

2.

Simplify

\begin{equation}\sqrt{375}+\sqrt{15}\end{equation}

3.

Simplify

\begin{equation}\sqrt{128}+\sqrt{64}\end{equation}

4.

Simplify

\begin{equation}\sqrt{900}-\sqrt{9}\end{equation}

5.

Simplify

\begin{equation}10 \times \sqrt{8}+3 \times \sqrt{8}\end{equation}

6.

Simplify

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

7.

Simplify

\begin{equation}\sqrt{(16x)}-\sqrt{(49x)}\end{equation}

8.

Simplify

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

9.

Simplify

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

10.

Simplify

\begin{equation}5 \times \sqrt{4}+4 \times \sqrt{5}\end{equation}

11.

Simplify

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

12.

Simplify

\begin{equation}3 \times \sqrt{3}+\sqrt{243}\end{equation}

13.

Simplify

\begin{equation}\sqrt{512} \times \sqrt{729}+\sqrt{4} \times \sqrt{59049}\end{equation}

14.

Simplify

\begin{equation}5\sqrt{(6x)}+\sqrt{(216x)}\end{equation}

15.

Simplify

\begin{equation}(-1) \times 3\sqrt{(8x)}+27\sqrt{(8x)}\end{equation}

16.

Simplify

\begin{equation}4 \times \sqrt{243}-8 \times \sqrt{27}\end{equation}

17.

Simplify

\begin{equation}\sqrt{256}+\sqrt{(4 \times 81)}+\sqrt{(4 \times 100)}\end{equation}

18.

Simplify

\begin{equation}10 \times \sqrt{7}+8\sqrt{(7x)}+5 \times \sqrt{7}\end{equation}

19.

Simplify

\begin{equation}20\sqrt{(3x)}+16\sqrt{(5x)}+20\sqrt{(3x)}\end{equation}

20.

Simplify

\begin{equation}\sqrt{(16x)}+2\sqrt{(4x)}+2\sqrt{x}\end{equation}

21.

Simplify using distributive property

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

22.

Simplify using distributive property

\begin{equation}\sqrt{1000} \times (\sqrt{700}-\sqrt{10})\end{equation}

23.

Simplify using distributive property

\begin{equation}\sqrt{5} \times (\sqrt{216}-30)\end{equation}

24.

Simplify using distributive property

\begin{equation}\sqrt{7} \times (\sqrt{3}-\sqrt{27})\end{equation}

25.

Simplify using distributive property

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

26.

Simplify using distributive property

\begin{equation}(9-\sqrt{10}) \times (9+\sqrt{10})\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}(9+\sqrt{9}) \times (2-\sqrt{9})\end{equation}