Question

By factorisation method find the square root of 10648


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Answer 1

Step-by-step explanation:

Hence the cube root of 10648 is 22. Hence we can say 22 is the cube root of 10648.

Answer 2

Answer:

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Step-by-step explanation:

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Find the cube root by prime factorization of 10648.

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Hint- To find the cube root of a number by factorization, first, find the prime factors of the number and make a group of triplets of the same numbers from the prime factors and then find their products. For example, the prime factor of (c)=a×a×b×b×a×b=[a×a×a]−−−−−−−−−×[b×b×b]−−−−−−−−=a×b

The prime number is the number which is either divisible by 1 or by itself. (e.g. 2, 3, 5, 7, 11).

Complete step by step solution:

Let’s find the cube root of the number using the factorization method first we will factorize the given numbers only by the prime numbers.

2|10648−−−−−2|5324−−−−2|2662−−−−11|1331−−−−11|121−−−−11|11−−−|1−−

Hence we can write (10648)=2×2×2×11×11×11

Now make triplet group of the factors of 10648:

(10648)=[2×2×2]×[11×11×11](10648)−−−−−−√3=2×11=22

Hence the cube root of 10648 is 22.

Additional Information: To check whether 22 is the cube root of 10648 or not we will find the cube of the number,

(22)3=22×22×22=10648

Hence we can say 22 is the cube root of 10648.