Tonya runs 8 kilometers in 60 minutes at this rate how long would it take her to run 2 kilometers

Mathematics

1 answer:

nekit [7.7K]4 years ago

5 0

It will take her 15 minutes to run 2 kilometers

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nata0808 [166]

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murzikaleks [220]

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2 years ago

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

Artyom0805 [142]

$2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64$

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

$2^{3/2}8^{3/2}=2^{3/2}(2^3)^{3/2}=2^{3/2}2^{9/2}=2^{12/2}=2^6=64$