Applying the underlying structure of multiplication and division of surds | Maths

Starter quiz

Calculate $\sqrt {0.764} \times \sqrt {0.764}$
- '0.764' ✓
Calculate ${9 \over \sqrt {3}} \times {9 \over \sqrt {3}}$
- '27' ✓
$2\sqrt {5} \times \sqrt {2} = 2\sqrt {b}$ . What is the value of $b$ ?
- '10' ✓
$\sqrt {6} \times \sqrt {4} \times 3\sqrt {10}\times \sqrt {10} = a\sqrt {6}$ . What is the value of $a$ ?
- '60' ✓
Simplify the following expression: $\sqrt {24} \div \sqrt {6}$
- '2' ✓
Evaluate the following expression: $3\sqrt {20} \div \sqrt {5}$
- '6' ✓