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  • 12-01-2022
  • Mathematics
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What is the product of 6 and 2 square root of 72 in simplest radical form?

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jtm2588
jtm2588 jtm2588
  • 12-01-2022

Answer:

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

Step-by-step explanation:

[tex](6) 2\sqrt{72} \\[/tex]

Simplify the square root of 72 by finding perfect squares

[tex]\sqrt{9(4)(2)}[/tex]

The square root of 9 = 3 and the square root of 4 = 2. Bring the 2 and 3 outside the square root.

[tex]6(2)(2)(3)\sqrt{2}[/tex]

Multiply

6 x 2 x 2 x 3 = 72

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

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