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3 years ago

How do you simplify sqrt of x^20?

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

$\bf \sqrt{x^{20}}\implies \sqrt{x^{10\cdot 2}}\implies \sqrt{(x^{10})^2}\implies x^{10}$

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2 years ago

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1 year ago

I think of a number, add 3 to it and multiply the result by 7.

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Answer:

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3 years ago

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

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2 years ago