Answer:
1. 7
2. 6
[tex]3. 3\sqrt{5}[/tex]
4?
5. [tex]8\sqrt{10}[/tex]
6.[tex]5\sqrt{3}[/tex]
7. [tex]-1+\sqrt{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]
2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]
3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]
4. here there are two cases
[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]
[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]
5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]
6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]
7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]
