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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-example-1
User AtVelu
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1 Answer

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2\sqrt8*8\sqrt2=(2*8)√(8*2)=16√(16)=16*4=64

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


2\sqrt8*8\sqrt2=2\tiems8^(1/2)*8*2^(1/2)=2^(3/2)8^(3/2)

Then recalling that
2^3=8, you have


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
User Joaner
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