Mr Daniels Maths
Surds Simplifying

Set 1

Set 2

Set 3

Q1) \(\sqrt{128}\) = [ \(8\sqrt{2}\)]

Q1) \(5\sqrt 2 \) x \(2\sqrt 8= \) [ \(40\)]

Q1) \(\sqrt { 125 } \) + \(\sqrt { 320 }= \) [ \(13\sqrt{5}\)]

Q2) \(\sqrt{125}\) = [ \(5\sqrt{5}\)]

Q2) \(2\sqrt 3 \) x \(3\sqrt 3= \) [ \(18\)]

Q2) \(\sqrt { 300 } \) - \(\sqrt { 3 }= \) [ \(9\sqrt{3}\)]

Q3) \(\sqrt{96}\) = [ \(4\sqrt{6}\)]

Q3) \(16 \sqrt 48 \over{ 4 \sqrt 6} \) = [ \(8\sqrt{2}\)]

Q3) \(\sqrt { 147 } \) - \(\sqrt { 12 }= \) [ \(5\sqrt{3}\)]

Q4) \(\sqrt{75}\) = [ \(5\sqrt{3}\)]

Q4) \(2\sqrt 2 \) x \(5\sqrt 10= \) [ \(20\sqrt{5}\)]

Q4) \(\sqrt { 245 } \) - \(\sqrt { 80 }= \) [ \(3\sqrt{5}\)]

Q5) \(\sqrt{80}\) = [ \(4\sqrt{5}\)]

Q5) \(6 \sqrt 70 \over{ 3 \sqrt 10} \) = [ \(2\sqrt{7}\)]

Q5) \(\sqrt { 50 } \) - \(\sqrt { 2 }= \) [ \(4\sqrt{2}\)]

Q6) \(\sqrt{252}\) = [ \(6\sqrt{7}\)]

Q6) \(5\sqrt 4 \) x \(3\sqrt 10= \) [ \(30\sqrt{10}\)]

Q6) \(\sqrt { 243 } \) - \(\sqrt { 48 }= \) [ \(5\sqrt{3}\)]

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

Q7) \(4 \sqrt 2 \over{ 2 \sqrt 1} \) = [ \(2\sqrt{2}\)]

Q7) \(\sqrt { 243 } \) - \(\sqrt { 108 }= \) [ \(3\sqrt{3}\)]

Q8) \(\sqrt{48}\) = [ \(4\sqrt{3}\)]

Q8) \(10 \sqrt 54 \over{ 2 \sqrt 6} \) = [ \(15\)]

Q8) \(\sqrt { 243 } \) - \(\sqrt { 3 }= \) [ \(8\sqrt{3}\)]

Q9) \(\sqrt{40}\) = [ \(2\sqrt{10}\)]

Q9) \(5\sqrt 3 \) x \(4\sqrt 10= \) [ \(20\sqrt{30}\)]

Q9) \(\sqrt { 200 } \) - \(\sqrt { 2 }= \) [ \(9\sqrt{2}\)]

Q10) \(\sqrt{216}\) = [ \(6\sqrt{6}\)]

Q10) \(4 \sqrt 80 \over{ 2 \sqrt 10} \) = [ \(4\sqrt{2}\)]

Q10) \(\sqrt { 192 } \) - \(\sqrt { 75 }= \) [ \(3\sqrt{3}\)]