Question

State whether the following statement is True or False.
The product of two binomial quadratic surds is always rational.

• A. True
• B. False

Answer 1

The correct option is A True

The product of two binomial quadratic surds is always rational.

$(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})=\left(\right(\sqrt{a}{)}^2-\left(\sqrt{b}{)}^2\right)=a-b$ which is a rational number.

So, it is a true statement.