Question

find the square root of 3481.pls can u show in written.​

Answer 1

Answer:

59 is the answer . √3481 is 59

Answer 2

We can find the square root of any number in two ways,

• By prime factorization.
• By long division.

Clarification :

• Prime factorization

$\longmapsto$ In prime factorization method, firstly we find the prime factors of the given number by prime factorization. Then, we form pairs of like factors and from each pair we pick out one prime factor and then we multiply the the factors so picked , the product we get is the square root of the given number.

• Long division

$\longmapsto$ In this method, firstly we put the bars on every pair starting with digit at ones place. Then we find the largest number whose square is closest (less than or equal ) to the pair at extreme left. We consider that number as both divisor and quotient. Then, we subtract the product of divisor and quotient from the first pair and then bring the next pair to the right of the remainder,it becomes the new dividend. After that, the we double the previous divisor and it becomes the new divisor. Again , we we find the largest number whose square is closest (less than or equal ) to the pair. . . . . . we subtract the product of divisor from the pair (till we get 0) .

Explication of steps :

By prime factorization :

Resolving 3481 into prime factors, we get :

→ 3481 = 59 × 59

→ √3481 = 59

Therefore, square root of 3481 is 59.

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By long division :

→

$\: \: \: \: \: \: \: \sf{59} \\ \begin{array}{c | c} \: \sf{5}&\sf{ \overline{ \overline{34} \: \: \overline{81}}} \\ \sf{5} & \sf{25} \: \: \downarrow \\ \: \sf{\overline{10 \: \underline{9}}}& \sf{ \overline{0 \: 981}} \\ \: & \sf{ \: \: \: \: 981} \\& \sf{ \overline{ \: \: \: \: \:000 \: \:}} \end{array}$

Therefore, square root of 3481 is 59.

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