For any two positive numbers 'a' and 'b', we have
Example 1 :
Find the value of √256.
Solution :
√256 = √(16 x 16)
= √16 x √16
= 4 x 4
= 4
or
√256 = √(64 x 4)
= √64 x √4
= 8 x 2
= 16
Example 2 :
Find the value of √(25/9).
Solution :
√(25/9) = √25/√9
= 5/3
Example 3 :
Find the value of √(36/49).
Solution :
√(36/49) = √36/√49
= 6/7
Example 4 :
Find the value of √42.25.
Solution :
√42.25 = √4225/√100
= 65/10
= 6.5
Example 5 :
Find the value of √(98/162).
Solution :
√(98/162) = √(2 x 49)/(2 x 81)
= √(49/81)
= √49/√81
= 7/9
Example 6 :
Find the value of √12 x √3.
Solution :
√12 x √3 = √(12 x 3)
= √36
= 6
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