kaushikkumar1987 wrote:Estimate root(60) to the nearest tenth.
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what is the fastest way to find the value in 'nearest tenth'

General Process:
1. Multiply the number with 10² = 100
2. Determine the square root of the product to unit's place
3. Place the decimal between the unit's place and ten's place
4. You have the result

In this case determine the square root of 6000 to units place. Which is between 77 and 78. Hence, the value of square root of 60 to the tenth place is 7.7

Remember some square roots: Remember the square roots of single digit primes. It helps in many situations. In fact the values of √2, √3, and √5 to the thousandth place are enough.

Here, √60 = √(4*3*5) = (√4)*(√3)*(√5) = 2*(1.732)*(2.236) ≈ 7.74