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• Tests in basic operations with radicals
• Adding and subtracting square roots

# Adding and subtracting square roots

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•  Question 1: 1 pts Is the following statement true or false? $$\sqrt{2} + \sqrt{3} = \sqrt{5}$$
•  Question 2: 1 pts Is the following statement true or false? $$\sqrt{25-9} = \sqrt{16}$$
•  Question 3: 1 pts Is the following statement true or false? $$7\sqrt{3} - 4\sqrt{3} = 3\sqrt{3}$$
•  Question 4: 1 pts Simplify $2\sqrt{2}+\sqrt{3}$
 $\sqrt{7}$ $\sqrt{12}$ $\sqrt{14}$ cannot be simplified
•  Question 5: 1 pts Simplify $2\sqrt{5} - 3\sqrt{5}$
 $\sqrt{5}$ $5\sqrt{5}$ $-\sqrt{5}$ cannot be simplified
•  Question 6: 2 pts Simplify $\sqrt{3} + \sqrt{12}$
 $3\sqrt{3}$ $\sqrt{15}$ $5\sqrt{3}$ cannot be simplified
•  Question 7: 2 pts Simplify $\sqrt{50} - 2\sqrt{8}$
 $-\sqrt{2}$ $-3\sqrt{2}$ $\sqrt{2}$ cannot be simplified
•  Question 8: 2 pts Simplify $\sqrt{2} + \sqrt{8}+ \sqrt{18}$
 $12\sqrt{2}$ $6\sqrt{2}$ $4\sqrt{2}$ cannot be simplified
•  Question 9: 3 pts Simplify $3\sqrt{27} - \sqrt{12} + \sqrt{48}$
 $2\sqrt{12}$ $9\sqrt{12}$ $11\sqrt{3}$ $\sqrt{3}$
•  Question 10: 3 pts Simplify $$\frac{\sqrt{2}}2 - \frac{\sqrt{8}}4$$
 $0$ $1$ $2$ $3$
•  Question 11: 3 pts Simplify $$\frac{3\sqrt{8}}4 + \frac{2\sqrt{50}}3-\frac{3\sqrt{72}}4$$
 $\frac{\sqrt{2}}2$ $2\sqrt{2}$ $3\sqrt{2}$ $\frac{\sqrt{2}}3$
•  Question 12: 3 pts If $x>0$ than $2\sqrt{x^3}+3\sqrt{4x^3}$
 $8x\sqrt{x}$ $8\sqrt{x^3}$ $14x\sqrt{x}$ $14\sqrt{x^3}$