Question

Heya!!!

Good morning to all brainly members ..........

How to find square root of any number . Take 120 as example .

Answer 1

Hi there!
Here's the answer:

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• A No. can be a perfect square or Non perfect square

• For prefect squares, either prime factorisation or Division Method of finding square roots can be used

• For Non perfect squares, Estimation Method is used. It gives the result approximate to the exact square root of the required non perfect square.

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•

Considering the given example : 120
SOLUTION :

• Estimate the given Non perfect square between the nearest lower and upper perfect squares

we know 100 & 121 is a perfect square
=> 100 < 120 < 121
=> 10² < 120 < 121

So
=> 10 < √120 < 11
The square root of 120 lies in between 10 & 11

Now,
Find the No. of Non perfect squares between 100(10²) and 121(11²)
= 2×10 = 20

°•°No of Non perfect squares between a² and b² ;(where b = a+1) = 2 × base of first No. = 2a

Find whether the Non perfect square is nearer to lower perfect square or upper perfect square

120 - 100 = 20
121 - 120 = 1
•°• 120 is more nearest to 121

So

√120 = 11 - (1/20) = 11 - 0.05 = 10.95


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¢#£€®$

:)

Hope it helps

Answer 2

$\huge\sf\red{Answer:}$

According to your suggestion, we took 120.

120 couldn't get a perfect root as it has odd number of zeroes. If it had even number of zeroes, it could have a perfect root.

For Example: [OF NUMBERS WHICH HAS A PERFECT ROOT.]

• 6400 : 80
• 22500 : 150
• 4000000 : 2000
• 90 : it has no perfect root. But 900 has a perfect root which is 30.

NOW,

$\tt\blue{How \ to \ find \ a \ square \ root?}$

There are many methods to find out a square root of a number.

The methods are:

• Repeated Substraction Method
• Prime Factorisation Method
• Long Division Method

$\bf{Let's \ get \ some \ detail.}$

REPEATED SUBSTRACTION METHOD:

To find out a square root of a number, we can use this method.

NOTE: To find out the sq. root, we've to subtract it with odd numbers. [example attachment blue ink]

PRIME FACTORISATION METHOD:

To find out the square root we've to divide it with numbers. [example attachment red ink]

LONG DIVISION METHOD:

To find out the sq. root, we've to divide the number as we divide numbers by long division. [example attachment yellow ink]

$\huge\sf\pink{THANKS.}$