Simplifying Surds

• √a x √b = √ab
• √ab = √a x √b
• √a divided by √b = √a/b
• √a x √a = a
• (√a)² = a
• √a² = a
• √2 x √7 = √14
• √20 x √5 = 10
• √2 x √3 x √2 = √12
• 3√5 x 2√3 = 6√15
• 7√2 x 2√18 = 84
• √28 = 2√7
• √72 = 6√2
• 2√15 x 3√5 = 30√3
• √15 divided by √5 = √3
• √40 divided by √2 = √20
• √3 + √3 = 2√3
• 2√5 + 4√5 = 6√5
• You cannot add √3 + √7 as they are different surds that cannot be simplified
• √20 + √80 = 6√5