GradeGen

A square root left in exact form, such as $\sqrt{7}$ , when it cannot be simplified to a rational number.

An irrational root written exactly, such as $\sqrt2$ or $\sqrt[3]{5}$ . A root such as is not a surd because it is rational.

Give an exact answer in surd form unless the question asks for a decimal approximation.

Simplify every surd before deciding which terms are like terms; for example, $\sqrt{12}$ and become like terms because .

A surd is an irrational root left in exact form.

An irrational root written exactly, such as $\sqrt{2}$ , which cannot be simplified to a rational number.

An irrational root left in exact form, such as $\sqrt{2}$ or $\sqrt{5}$ .

A root that cannot be simplified to a rational number, such as $\sqrt2$ or $\sqrt3$ .

An irrational root left in root notation because it cannot be written as a rational number, such as $\sqrt{2}$ .

A surd is a root that cannot be expressed as a rational number.

An irrational root written exactly, such as $\sqrt3$ or $2\sqrt5$ .

An exact expression containing a square root that cannot be simplified to a rational number, such as $3+\sqrt{17}$ .

An irrational root left in exact form, such as $\sqrt{2}$ or $\sqrt[3]{5}$ .

A surd is an irrational root kept in exact form.

A root that has an irrational value and is left in exact root form, such as $\sqrt{2}$ or $\sqrt[3]{5}$ .

A root such as $\sqrt{5}$ that cannot be simplified to a rational number. Leaving an answer in surd form gives an exact value.

A square root left in exact form when it does not simplify to a whole number, such as $\sqrt3$ .

After multiplying surds or rationalising a denominator, simplify the final expression fully.

An exact irrational root that cannot be simplified to a rational number, such as $\sqrt2$ .

A square root that cannot be simplified to a rational number, such as $\sqrt2$ or $\sqrt3$ .

Surd