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marusya05 [52]
3 years ago
10

For which value of x must the expression square root of 19x be further simplified? A. 15. B 21. C 28. D 41

Mathematics
2 answers:
algol [13]3 years ago
5 0
<span>The expression of the square root of 19x must be simplified when x is equal to 28. This is because possible factors of 28 can be seen to be 4 and 7, and 4 is a perfect square. This means it can be pulled outside of the square root when evaluated. The other options include only prime factors that could not be pulled out. (3,5), (3,7), (1,41)
   28 simplifies as such:
 Sqrt(19*28) = Sqrt(19*4*7) = 2*Sqrt(19*7) = 2*Sqrt(133).</span>
kap26 [50]3 years ago
3 0

Answer:

C 28

Step-by-step explanation:

Let:

f(x)=\sqrt{19x}

Now, let's evaluate every value, so we can determinate if the expression can be further simplified:

x=15

f(15)=\sqrt{19*15} =\sqrt{285}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

x=21

f(21)=\sqrt{19*21} =\sqrt{399}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

x=28

f(28)=\sqrt{19*28} =\sqrt{532}

This can be simplified because you can rewrite the expression as:

\sqrt{532} =\sqrt{2^2*133} = \sqrt{4*133} =\sqrt{4} \sqrt{133} =2\sqrt{133}

x=41

f(41)=\sqrt{19*41} =\sqrt{779}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

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damaskus [11]

Answer:

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using Pythagorean theorem we get the square root of 10^2+10^2

this solves to the square root of (200)

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2 years ago
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sashaice [31]
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5 0
3 years ago
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natali 33 [55]
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mr Goodwill [35]
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3 0
3 years ago
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vovangra [49]

9514 1404 393

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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