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4 years ago

Which of the following is equal to 7 1/4? Show work. Please help.

Mathematics

2 answers:

kolezko [41]4 years ago

7 0

Answer:

C) $\sqrt[4]{7}$ .

Step-by-step explanation:

Given : $7^{\frac{1}{4}}$ .

To find : Equivalence expression.

Solution : we have given that $7^{\frac{1}{4}}$ .

By the radical rule $\sqrt[n]{x} = x^{\frac{1}{n}}$

Then $7^{\frac{1}{4}}$ = $\sqrt[4]{7}$ .

Therefore, C) $\sqrt[4]{7}$ .

fomenos4 years ago

6 0

d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%2B1%7D%20%2B%20%5Cfrac%7B4%7D%7Bx%2B4%7D%20-%20%5Cfrac%7B5%7D%7Bx%2B5%3C

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[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x + 5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x + 4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x + 4)( x + 5 )] =
( - 2x + 20 ) / [( x + 1 )( x + 4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x + 4)( x + 5 )]

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