Question

what is the difference between surds radicals and square roots?​

Answer 1

Surds:

√2, √3, √5, √21, ……………. are irrational numbers, These are square roots (second roots), of some rational numbers, which can not be written as squares of any rational number.

If a is rational number and n is a positive integer such that the nth root of a is an irrational number, then a1/n is called a surd or radical.

Example: √2, √3, √5 etc.If is a surd then ‘n’ is known as order of surd and ‘a’ is known as radicand.Every surd is an irrational number but every irrational number is not a surd.

Square Root-

a number which produces a specified quantity when multiplied by itself.

"7 is a square root of 49"