Question

Find the square root by prime factorisation method. 9801
​

Answer 1

Answer:

The square root of 9801 is 99.

Explanation:

$\sqrt{9801 = 3 \times 3 \times 3 \times 3 \times 11 \times 11}$

$\sqrt{9801} = \sqrt{3 \times 3 \times 3 \times 3 \times 11 \times 11}$

$\sqrt{9801} = 3 \times 3 \times 11$

$\sqrt{9801} = 99$

Hence, the square root of 9801 is 99.

☆Extra method ☆

Divison method :

For digits to the left of the decimal point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Thus we have, 98   01

√9801 = 99

Hence The square root of 9801 is 99

Note :

(division method is in the attachment)

☆Additional Information ☆

Square root can be solved by :

• Prime Factorization method (which is done above )
• Long division method.

Answer 2

Answer:

\sqrt{9801} = \sqrt{3 \times 3 \times 3 \times 3 \times 11 \times 11}

9801

=

3×3×3×3×11×11

\sqrt{9801} = 3 \times 3 \times 11

9801

=3×3×11

\sqrt{9801} = 99

9801

=99

Hence, the square root of 9801 is 99.

☆Extra method ☆

Divison method :

For digits to the left of the decimal point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Thus we have, 98 01

√9801 = 99

Hence The square root of 9801 is 99

Note :

(division method is in the attachment)

☆Additional Information ☆

Square root can be solved by :

Prime Factorization method (which is done above )

Long division method.

Step-by-step explanation:

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