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OleMash [197]
3 years ago
12

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

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64

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

2\sqrt8\times8\sqrt2=2\tiems8^{1/2}\times8\times2^{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
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