A shell of mass 2 m fired with a speed u at
an angle o to the horizontal explodes at the
highest point of its trajectory into two
fragments of mass m each. If one fragment
falls vertically, the distance at which the
other fragment falls from the gun is given by
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The order of a surd indicates the index of root to be extracted.
In n√a, n is called the order of the surd and a is called the radicand.
For example: The order of the surd 5√z is 5.
(i) A surd with index of root 2 is called a second order surd or quadratic surd.
The surds which have the indices of root 2 are called as second order surds or quadratic surds. For example√2, √3, √5, √7, √x are the surds of order 2.
Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2).
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