Mr Daniels Maths
Surds Simplifying

Set 1

Set 2

Set 3

Q1) \(\sqrt{96}\) = [ \(4\sqrt{6}\)]

Q1) \(12 \sqrt 8 \over{ 4 \sqrt 2} \) = [ \(6\)]

Q1) \(\sqrt { 192 } \) - \(\sqrt { 48 }= \) [ \(4\sqrt{3}\)]

Q2) \(\sqrt{80}\) = [ \(4\sqrt{5}\)]

Q2) \(9 \sqrt 54 \over{ 3 \sqrt 6} \) = [ \(9\)]

Q2) \(\sqrt { 320 } \) + \(\sqrt { 20 }= \) [ \(10\sqrt{5}\)]

Q3) \(\sqrt{24}\) = [ \(2\sqrt{6}\)]

Q3) \(4\sqrt 4 \) x \(2\sqrt 2= \) [ \(16\sqrt{2}\)]

Q3) \(\sqrt { 72 } \) + \(\sqrt { 200 }= \) [ \(16\sqrt{2}\)]

Q4) \(\sqrt{54}\) = [ \(3\sqrt{6}\)]

Q4) \(5\sqrt 2 \) x \(5\sqrt 2= \) [ \(50\)]

Q4) \(\sqrt { 75 } \) + \(\sqrt { 48 }= \) [ \(9\sqrt{3}\)]

Q5) \(\sqrt{360}\) = [ \(6\sqrt{10}\)]

Q5) \(4\sqrt 4 \) x \(5\sqrt 5= \) [ \(40\sqrt{5}\)]

Q5) \(\sqrt { 200 } \) - \(\sqrt { 32 }= \) [ \(6\sqrt{2}\)]

Q6) \(\sqrt{128}\) = [ \(8\sqrt{2}\)]

Q6) \(4\sqrt 4 \) x \(4\sqrt 8= \) [ \(64\sqrt{2}\)]

Q6) \(\sqrt { 180 } \) - \(\sqrt { 20 }= \) [ \(4\sqrt{5}\)]

Q7) \(\sqrt{252}\) = [ \(6\sqrt{7}\)]

Q7) \(2\sqrt 4 \) x \(5\sqrt 5= \) [ \(20\sqrt{5}\)]

Q7) \(\sqrt { 405 } \) - \(\sqrt { 245 }= \) [ \(2\sqrt{5}\)]

Q8) \(\sqrt{20}\) = [ \(2\sqrt{5}\)]

Q8) \(3\sqrt 3 \) x \(3\sqrt 4= \) [ \(18\sqrt{3}\)]

Q8) \(\sqrt { 45 } \) + \(\sqrt { 80 }= \) [ \(7\sqrt{5}\)]

Q9) \(\sqrt{8}\) = [ \(2\sqrt{2}\)]

Q9) \(8 \sqrt 12 \over{ 2 \sqrt 6} \) = [ \(4\sqrt{2}\)]

Q9) \(\sqrt { 192 } \) + \(\sqrt { 147 }= \) [ \(15\sqrt{3}\)]

Q10) \(\sqrt{108}\) = [ \(6\sqrt{3}\)]

Q10) \(2\sqrt 2 \) x \(2\sqrt 7= \) [ \(4\sqrt{14}\)]

Q10) \(\sqrt { 50 } \) - \(\sqrt { 8 }= \) [ \(3\sqrt{2}\)]