Surds

Simplify: $\frac{\sqrt{72}}{5\sqrt{72}+3\sqrt{288}-2\sqrt{648}}$

Rationalise: $\frac{5-2\sqrt{7}}{3+4\sqrt{3}}$

Find the square root of  $7-4\sqrt{3}$

$5+\sqrt{7}$ is a binomial surd.

$2+\sqrt{3}$ is a

Identify the binomial surd from the given options.

$\sqrt[3]{2}$ is a binomial surd.

What is meant by binomial surd?

$\sqrt[3]{5}+\sqrt[5]{7}$ is a compound surd.

$\sqrt[5]{2}+\sqrt[4]{3}$ is a

Identify the compound surd from the given options.

$\sqrt[5]{2}$ is a compound surd.

What is meant by compound surd?

$\sqrt[5]{4}+\sqrt[3]{2}$ is the simple surd.

$\sqrt[5]{2}$ is a

Identify the simple surd from the given options.

$\sqrt[3]{4}$ is the simple surd.

What is meant by simple surd?

Order of the surd $\sqrt[4]{7}$ is $7$.

Identify the quadratic surd among the given options.