Question

Simplify square root of 300x8/ 27x12

Answer 1

Answer:

10

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3x^2

Step-by-step explanation:

First lets simplify what is inside the square root

300x8

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27x12

3 * 100 x^8

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3 *9 x^12

The 3's cancel  and we know a^b/ a^c = a^(b-c)

100/9 x^ (8-12)

100/9 x^-4

sqrt( 100/9 x^-4)

Put the negative exponent in the denominator and make it positive

sqrt( 100 / (9x^4) )

We know that sqrt( a / b) = sqrt(a) / sqrt( b)

sqrt(100)

----------------

sqrt( 9x^4)

10

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3x^2