sazzyleigh sazzyleigh
  • 09-05-2017
  • Mathematics
contestada

please can someone show me how to work this out step by step without a calculator

please can someone show me how to work this out step by step without a calculator class=

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LammettHash
LammettHash LammettHash
  • 09-05-2017
[tex]2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64[/tex]

Alternatively, you can write radicals as rational exponents, so that you get

[tex]2\sqrt8\times8\sqrt2=2\tiems8^{1/2}\times8\times2^{1/2}=2^{3/2}8^{3/2}[/tex]

Then recalling that [tex]2^3=8[/tex], you have

[tex]2^{3/2}8^{3/2}=2^{3/2}(2^3)^{3/2}=2^{3/2}2^{9/2}=2^{12/2}=2^6=64[/tex]
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