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You will apply them when solving quadratic equations in which the quadratic expression cannot be factorised.

Q: When will you apply surds in real life?

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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 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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No. Surds are a type of real number. Infinity is not a real number.

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Surds are normally irrational numbers.

Yes. They are called surds. They are also complex.

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No. Surds are a part of maths, and are the opposite of powers.

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.

They are not something most of us would use in ordinary daily activities like shopping and bank statements, but like all mathematical topics they will crop up somewhere at some time in the normal, real-life work of mathematicians, scientists and engineers.