ILoveChocolate100
ILoveChocolate100 ILoveChocolate100
  • 25-04-2019
  • Mathematics
contestada

Simplify the expression shown. You must show your work to receive credit.
√2·√72·√5

Please show all of your steps.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 05-05-2019

ANSWER

[tex]12 \sqrt{5} [/tex]

EXPLANATION

The given expression is

[tex] \sqrt{2} \times \sqrt{72} \times \sqrt{5} [/tex]

The middle radical contains a perfect square.

[tex]\sqrt{2} \times \sqrt{36 \times 2} \times \sqrt{5} [/tex]

[tex]\sqrt{2} \times \sqrt{36} \times \sqrt{2} \times \sqrt{5} [/tex]

[tex]6\sqrt{2} \times \sqrt{2} \times \sqrt{5} [/tex]

Note that:

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]6\times 2 \sqrt{5} = 12 \sqrt{5} [/tex]

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