Irrational number are NOT called surds. For example, pi is irrational but it is not a surd.
Surds are a very small subset of Irrational Numbers.
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Surds are normally irrational numbers.
Roots that are irrational are called surds. There are irrational numbers that are not surds since they are not roots of any equation. For example, Pi. Rational roots, such as square root of 4, are not surds.
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Irrational rootsRoots that are irrational are called surds. Irrational numbers are decimals that neither repeat nor terminate. But not all roots are surds. Sqrt(4) is not a surd, because sqrt(4) is + or - 2, which is rational. On the other hand, sqrt(2) is a surd, and that's because the square root of two is irrational.A surd is a number that cannot be changed into a fraction. They go on infinitely without any pattern.
Surds are irrational square root numbers that cannot be solved but they can be simplified. For example the square root of 12 can be simplified to 2 times the square root of 3.