Mr Daniels Maths
Surds Simplifying

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Q1) \(\sqrt{180}\) = [ \(6\sqrt{5}\)]

Q1) \(16 \sqrt 15 \over{ 4 \sqrt 3} \) = [ \(4\sqrt{5}\)]

Q1) \(\sqrt { 243 } \) - \(\sqrt { 147 }= \) [ \(2\sqrt{3}\)]

Q2) \(\sqrt{128}\) = [ \(8\sqrt{2}\)]

Q2) \(4 \sqrt 16 \over{ 2 \sqrt 2} \) = [ \(4\sqrt{2}\)]

Q2) \(\sqrt { 45 } \) - \(\sqrt { 20 }= \) [ \(\sqrt{5}\)]

Q3) \(\sqrt{40}\) = [ \(2\sqrt{10}\)]

Q3) \(2\sqrt 2 \) x \(5\sqrt 6= \) [ \(20\sqrt{3}\)]

Q3) \(\sqrt { 48 } \) + \(\sqrt { 300 }= \) [ \(14\sqrt{3}\)]

Q4) \(\sqrt{50}\) = [ \(5\sqrt{2}\)]

Q4) \(9 \sqrt 36 \over{ 3 \sqrt 4} \) = [ \(9\)]

Q4) \(\sqrt { 200 } \) + \(\sqrt { 50 }= \) [ \(15\sqrt{2}\)]

Q5) \(\sqrt{20}\) = [ \(2\sqrt{5}\)]

Q5) \(4 \sqrt 6 \over{ 2 \sqrt 3} \) = [ \(2\sqrt{2}\)]

Q5) \(\sqrt { 243 } \) - \(\sqrt { 27 }= \) [ \(6\sqrt{3}\)]

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

Q6) \(9 \sqrt 24 \over{ 3 \sqrt 8} \) = [ \(3\sqrt{3}\)]

Q6) \(\sqrt { 128 } \) - \(\sqrt { 18 }= \) [ \(5\sqrt{2}\)]

Q7) \(\sqrt{27}\) = [ \(3\sqrt{3}\)]

Q7) \(25 \sqrt 70 \over{ 5 \sqrt 10} \) = [ \(5\sqrt{7}\)]

Q7) \(\sqrt { 245 } \) - \(\sqrt { 45 }= \) [ \(4\sqrt{5}\)]

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

Q8) \(10 \sqrt 56 \over{ 2 \sqrt 8} \) = [ \(5\sqrt{7}\)]

Q8) \(\sqrt { 50 } \) - \(\sqrt { 2 }= \) [ \(4\sqrt{2}\)]

Q9) \(\sqrt{75}\) = [ \(5\sqrt{3}\)]

Q9) \(2\sqrt 5 \) x \(4\sqrt 5= \) [ \(40\)]

Q9) \(\sqrt { 300 } \) + \(\sqrt { 12 }= \) [ \(12\sqrt{3}\)]

Q10) \(\sqrt{48}\) = [ \(4\sqrt{3}\)]

Q10) \(5\sqrt 3 \) x \(2\sqrt 10= \) [ \(10\sqrt{30}\)]

Q10) \(\sqrt { 200 } \) - \(\sqrt { 50 }= \) [ \(5\sqrt{2}\)]