How to find the square root of a decimal number by prime factorization
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How to find square root of decimal numbers without calculator...
How to find square of decimal number
SQUARE ROOT OF DECIMALS WITHOUT CALCULATOR
Square root of a number is the factor that we multiply by itself two times to get that number.
To find square root of decimals, we have two different ways,
- Using prime factorization
- Using long division
To use prime factorization, we will convert the decimal as integer by multiplying it by 10n.
Find :
Problem 1:
√0.01
Solution :
= √0.01
After the decimal, we have two digits.
So multiply the numerator and denominator by 100.
= √1/100
= √1/√100
= 1/10
= 0.1
Problem 2 :
√0.25
Solution :
= √0.25
After the decimal, we have two digits. So multiply the numerator and denominator by 100.
= √(25/100)
= √25/√100
= √(5⋅5)/√(10⋅10)
= 5/10
= 0.5
Problem 3 :
√0.81
Solution :
= √0.81
= √81/100
= √81/√100
= √(9⋅9)/√(10⋅10)
= 9/10
= 0.9
Problem 4 :
√0.6889
Solution :
= √0.6889
= √6889/10000
= √6889/√10000
Since the unit digit is 9 and starts with 68.
83 x 83 = 6889
87 x 87 = 7569
= 83/100
= 0.83
Problem 5 :
√0.7921
Solution :
= √0.7921
= √7921/10000
= √7921/√10000
Since the unit digit is 1 and start
- how to find square root of decimal numbers by division method
- how to find square root of decimals without calculator