paimonmoney
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  • 03-10-2020
  • Mathematics
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PLEASE HELP! Square root related
5 (square root of 144 minus 2 times square root of 64)

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gmany
gmany gmany
  • 03-10-2020

Answer:

[tex]\huge\boxed{5(\sqrt{144}-\sqrt{64})=20}[/tex]

Step-by-step explanation:

[tex]\sqrt{a}=b\iff b^2a\ \text{for}\ a\geq0\ \text{and}\ b\geq0[/tex]

[tex]5(\sqrt{144}-2\sqrt{64})=(*)\\\\\sqrt{144}=12\ \text{because}\ 12^2=12\cdot12=144\\\sqrt{64}=8\ \text{because}\ 8^2=8\cdot8=64\\\\(*)=5(12-8)=5(4)=20[/tex]

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