Mr Daniels Maths
Surds Simplifying

Set 1

Set 2

Set 3

Q1) \(\sqrt{18}\) = [ \(3\sqrt{2}\)]

Q1) \(8 \sqrt 9 \over{ 2 \sqrt 3} \) = [ \(4\sqrt{3}\)]

Q1) \(\sqrt { 12 } \) + \(\sqrt { 300 }= \) [ \(12\sqrt{3}\)]

Q2) \(\sqrt{250}\) = [ \(5\sqrt{10}\)]

Q2) \(2\sqrt 3 \) x \(3\sqrt 7= \) [ \(6\sqrt{21}\)]

Q2) \(\sqrt { 32 } \) - \(\sqrt { 8 }= \) [ \(2\sqrt{2}\)]

Q3) \(\sqrt{125}\) = [ \(5\sqrt{5}\)]

Q3) \(25 \sqrt 5 \over{ 5 \sqrt 5} \) = [ \(5\)]

Q3) \(\sqrt { 45 } \) + \(\sqrt { 245 }= \) [ \(10\sqrt{5}\)]

Q4) \(\sqrt{252}\) = [ \(6\sqrt{7}\)]

Q4) \(5\sqrt 9 \) x \(4\sqrt 1= \) [ \(60\)]

Q4) \(\sqrt { 5 } \) + \(\sqrt { 245 }= \) [ \(8\sqrt{5}\)]

Q5) \(\sqrt{175}\) = [ \(5\sqrt{7}\)]

Q5) \(16 \sqrt 25 \over{ 4 \sqrt 5} \) = [ \(4\sqrt{5}\)]

Q5) \(\sqrt { 320 } \) - \(\sqrt { 180 }= \) [ \(2\sqrt{5}\)]

Q6) \(\sqrt{54}\) = [ \(3\sqrt{6}\)]

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

Q6) \(\sqrt { 12 } \) - \(\sqrt { 3 }= \) [ \(\sqrt{3}\)]

Q7) \(\sqrt{75}\) = [ \(5\sqrt{3}\)]

Q7) \(4\sqrt 4 \) x \(4\sqrt 3= \) [ \(32\sqrt{3}\)]

Q7) \(\sqrt { 2 } \) + \(\sqrt { 128 }= \) [ \(9\sqrt{2}\)]

Q8) \(\sqrt{28}\) = [ \(2\sqrt{7}\)]

Q8) \(20 \sqrt 5 \over{ 4 \sqrt 1} \) = [ \(5\sqrt{5}\)]

Q8) \(\sqrt { 8 } \) + \(\sqrt { 8 }= \) [ \(4\sqrt{2}\)]

Q9) \(\sqrt{48}\) = [ \(4\sqrt{3}\)]

Q9) \(4 \sqrt 36 \over{ 2 \sqrt 6} \) = [ \(2\sqrt{6}\)]

Q9) \(\sqrt { 162 } \) - \(\sqrt { 98 }= \) [ \(2\sqrt{2}\)]

Q10) \(\sqrt{40}\) = [ \(2\sqrt{10}\)]

Q10) \(5\sqrt 10 \) x \(5\sqrt 10= \) [ \(250\)]

Q10) \(\sqrt { 12 } \) + \(\sqrt { 108 }= \) [ \(8\sqrt{3}\)]