How to find square roots without long Division method

**Confuse…??**“

*Q. Find √23**. using approx. method*

**Sol**√16 < √23 < √ 25

4 < 4.7or 4.8 < 5 ( this is an approximation)

but √23 = 4.79583

### • And now our short method to evaluate square root of √23…

###
- our formula of finding square root of will be

### • √A = √ B + (A – B)/ 2×√B

• let’s have an another example for √45

so,

45 = A

49 = B

putting values into Formula

√A = √ B + (A – B)/ 2×√B

√45 = 7 + ( 45-49) /2×7

= 7 – 4/14

= 7 – 0.28571

= 6.71429

now by evaluating from calculating

√45 = 6.7082 ≈ 6.71429

so this Method is giving us nearly equals to exact values.

• No doubts this method is easy than long Division and also giving answer to satisfactory manner, But it requires practice to become perfect. Try at least for twice or thrice with different values.

So this is our today’as tutorial of finding square root of any number without our traditional method.

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Now over to you, let me know how you have found this tutorial helpful to you, by commenting.