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2 years ago

Rationalizing factor of 3-√5

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Answer:

Your rationalizing factor becomes : [ 9 + 25^(1/3) - 3 x 5^(1/3) ]. Therefore, Therefore, and both are rational and as such is also rational.

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nadya68 [22]

Answer:

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Step-by-step explanation:

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3 years ago

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Nutka1998 [239]

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explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

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x=

cos70

9.6

=28.0685≈28.1 feet

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Rationalizing factor of 3-√5​

Rationalizing factor of 3-√5