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marta [7]
3 years ago
14

Rewrite the radicand as two factors, one of which is a perfect cube.

Mathematics
2 answers:
ryzh [129]3 years ago
3 0
250=2*125
replace this in cuberoot
MatroZZZ [7]3 years ago
3 0

Answer:

\sqrt[3]{373248}=\sqrt[3]{18^{3}*64}\\

Step-by-step explanation:

A Perfect Cube is an integer number multiple of three that can be expressed as a product of prime factors raised to 3rd power. We have many Perfect Cubes, such as:

15³=3³x5³, and 15 ∈ ={1,3,6,9,12,15,18,..} so 15 is a perfect cube

18³=2³x3³x3³ and 18 ∈ ={1,3,6,9,12,15,18,..} so 18 is a perfect cube.

Finally, for instance, we can rewrite the number 373248 as

cubic root of 18³ times 64. 18 is a perfect cube 64 is not a perfect cube for 64 =2^{6}

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Answer:

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Step-by-step explanation:

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3 years ago
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A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the b
EastWind [94]

Answer:

<h2>34.88feet</h2>

Step-by-step explanation:

The set up forms a right angle triangle with the length of the ladder being the hypotenuse and the angle of elevation is 29.32°. USing SOH, CAH TOA to determine the distance of the building from the base of the ladder.

The distance we are looking fir will be the adjacent. According to CAH.

cos29.32°= x/40

x = 40cos29.32°

x = 34.88feet (to the nearest hundredth)

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4 years ago
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BASKETBALL The standard width of a high school basketball court is 50 feet. If 1 meter = 3.3 feet, what is the width of the bask
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15.2 meters

Step-by-step explanation:

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3 years ago
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Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.
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For this case we must solve the following equation:

\sqrt {4x ^ 2} - \sqrt {x ^ 2} = 6

To solve we follow the steps below:

We square both sides of the equation squared:

(\sqrt {4x ^ 2} - \sqrt {x ^ 2}) ^ 2 = 6 ^ 2\\(\sqrt {4x ^ 2}) ^ 2-2 (\sqrt {4x ^ 2}) (\sqrt {x ^ 2}) + (\sqrt {x ^ 2}) ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 2 * x ^ 2}) + x ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 4}) + x ^ 2 = 36\\4x ^ 2-2 (2x ^ 2) + x ^ 2 = 36\\4x ^ 2-4x ^ 2 + x ^ 2 = 36\\x ^ 2 = 36\\x = \pm \sqrt {36}\\x = \pm6

We choose the positive value because we talk about $. x = 6

Answer:

$6

8 0
3 years ago
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