Question

find the cube root of the following numbers by prime factorization method

-3375/4913​

Answer 1

Answer:

-3375/4913 = 15³/17³

Step-by-step explanation:

Take LCM of numerator i.e -3375

3 |-3375

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3 | 1125

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3 | 375

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5 | 125

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5 | 25

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5 | 5

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| 1

we got 5×5×5×3×3×3

while finding cube root the factors should be same number thrice (means triple)

we got triple 5 and triple 3.

= multiply 5×3= 15

triple 5 and 3 means 15³

the numerator is in negative so keep negative in answer too = -15³

Now,

17 |4913

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17 | 289

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17 | 17

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| 1

17×17×17=17³

= -3375/4913

= -15³/17³

Hence, cube root of -3375/4913 is -15³/17³

By prime factorisation method

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Answer 2

The resistance o of a wire of length 300m and cross-sectional area 1.0mm2 made of material of resistivity 1.0×10−7Ωm is: (A)2Ω(B)3Ω(C)20Ω(D)30Ω