Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
• Tests in basic operations with radicals
• Multiplying square roots

# Multiplying square roots

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
4
5
6
+
1
2
3
=
0
.
auto next question
calculator
•  Question 1: 1 pts Is the following statement true or false? $\sqrt{2} \cdot \sqrt{3} = \sqrt{6}$ ?
•  Question 2: 2 pts Is the following statement true or false? $\sqrt{-1} \cdot \sqrt{-1} = \sqrt{1}$ ?
•  Question 3: 1 pts Simplify $\sqrt{2} \cdot \sqrt{8}$
 $\sqrt{16}$ $-4$ $4$ $2\sqrt{2}$
•  Question 4: 2 pts $\sqrt{x} \cdot \sqrt{x} = x$ for every $x \in \mathbb{R}$
•  Question 5: 2 pts Multiply $(-3\sqrt{3}) \cdot (-2\sqrt{3})$
 $9$ $18$ $27$ $36$
•  Question 6: 2 pts Multiply $4\sqrt{2} \cdot 3\sqrt{3}$
 $12\sqrt{5}$ $12\sqrt{6}$ $7\sqrt{5}$ $7\sqrt{6}$
•  Question 7: 2 pts Evaluate $3\sqrt{6} \cdot 4\sqrt{3}$
 $6\sqrt{2}$ $12\sqrt{18}$ $36\sqrt{2}$
•  Question 8: 3 pts Evaluate $(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})$
 $-3$ $-1$ $1$ $3$
•  Question 9: 3 pts Evaluate ${(\sqrt{x}+1)}^2-2\sqrt{x}$ if $x>0$
 $x+1$ $2\sqrt{x}$ $x-1$ $-2\sqrt{x}$
•  Question 10: 3 pts Evaluate $(\sqrt{535}+\sqrt{525}) \cdot (\sqrt{535}-\sqrt{525})$
 $5$ $10$ $15$ $20$
•  Question 11: 3 pts $\left((\sqrt{2} + \sqrt{3}) + \sqrt{6}\right) \cdot \left((\sqrt{2} + \sqrt{3}) - \sqrt{6}\right)$
 $\sqrt{6}+1$ $\sqrt{6}-1$ $1+2\sqrt{6}$ $2\sqrt{6}-1$