Answer: [tex]30\sqrt{11}[/tex]
Step-by-step explanation:
[tex]3\sqrt{50} * \sqrt{22}[/tex]
= [tex]3\sqrt{5*5*2} * \sqrt{2*11}[/tex]
= [tex]3\sqrt{5*5*2*2*11}[/tex]
= [tex]3*5*2\sqrt{11}[/tex]
= [tex]30\sqrt{11}[/tex]
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Answer: [tex]6\sqrt{30}[/tex]
Step-by-step explanation:
[tex]\sqrt{20} * \sqrt{3} * \sqrt{18}[/tex]
= [tex]\sqrt{2*2*5} * \sqrt{3} * \sqrt{3*3*2}[/tex]
= [tex]\sqrt{2*2*5*3*3*3*2}[/tex]
= [tex]2*3\sqrt{5*3*2}[/tex]
= [tex]6\sqrt{30}[/tex]
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Answer: [tex]-\sqrt{5}[/tex]
Step-by-step explanation:
[tex]4\sqrt{20} - 3\sqrt{45}[/tex]
= [tex]4\sqrt{2*2*5} - 3\sqrt{3*3*5}[/tex]
= [tex]4*2\sqrt{5} - 3*3\sqrt{5}[/tex]
= [tex]8\sqrt{5} - 9\sqrt{5}[/tex]
= [tex]-\sqrt{5}[/tex]
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Answer: [tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]2\sqrt{5} + 3\sqrt{5} - \sqrt{5}[/tex]
= [tex](2+3-1)\sqrt{5}[/tex]
= [tex]4\sqrt{5}[/tex]
********************************************
Answer: [tex]46\sqrt{2}[/tex]
Step-by-step explanation:
[tex]4\sqrt{32} + 6\sqrt{50}[/tex]
= [tex]4\sqrt{2*2*2*2*2} + 6\sqrt{2*5*5}[/tex]
= [tex]4*2*2\sqrt{2} + 6*5\sqrt{2}[/tex]
= [tex]16\sqrt{2} + 30\sqrt{2}[/tex]
= [tex]46\sqrt{2}[/tex]
