Mr Daniels Maths
Surds Simplifying

Easy

Medium

Difficult

Q1) \(\sqrt{150}\) = \(5\sqrt{6}\)
Q1) \(5\sqrt 6 \) x \(5\sqrt 1= \) \(25\sqrt{6}\)
Q1) \(\sqrt { 27 } \) + \(\sqrt { 300 }= \) \(13\sqrt{3}\)
Q2) \(\sqrt{128}\) = \(8\sqrt{2}\)
Q2) \(5\sqrt 4 \) x \(5\sqrt 5= \) \(50\sqrt{5}\)
Q2) \(\sqrt { 320 } \) - \(\sqrt { 20 }= \) \(6\sqrt{5}\)
Q3) \(\sqrt{50}\) = \(5\sqrt{2}\)
Q3) \(2\sqrt 8 \) x \(2\sqrt 4= \) \(16\sqrt{2}\)
Q3) \(\sqrt { 300 } \) - \(\sqrt { 243 }= \) \(\sqrt{3}\)
Q4) \(\sqrt{200}\) = \(10\sqrt{2}\)
Q4) \(4\sqrt 7 \) x \(4\sqrt 5= \) \(16\sqrt{35}\)
Q4) \(\sqrt { 80 } \) + \(\sqrt { 245 }= \) \(11\sqrt{5}\)
Q5) \(\sqrt{24}\) = \(2\sqrt{6}\)
Q5) \(3\sqrt 1 \) x \(4\sqrt 6= \) \(12\sqrt{6}\)
Q5) \(\sqrt { 2 } \) + \(\sqrt { 98 }= \) \(8\sqrt{2}\)
Q6) \(\sqrt{48}\) = \(4\sqrt{3}\)
Q6) \(2\sqrt 2 \) x \(3\sqrt 4= \) \(12\sqrt{2}\)
Q6) \(\sqrt { 48 } \) - \(\sqrt { 27 }= \) \(\sqrt{3}\)
Q7) \(\sqrt{18}\) = \(3\sqrt{2}\)
Q7) \(15 \sqrt 14 \over{ 3 \sqrt 7} \) = \(5\sqrt{2}\)
Q7) \(\sqrt { 180 } \) + \(\sqrt { 80 }= \) \(10\sqrt{5}\)
Q8) \(\sqrt{216}\) = \(6\sqrt{6}\)
Q8) \(5\sqrt 6 \) x \(5\sqrt 5= \) \(25\sqrt{30}\)
Q8) \(\sqrt { 108 } \) - \(\sqrt { 48 }= \) \(2\sqrt{3}\)
Q9) \(\sqrt{360}\) = \(6\sqrt{10}\)
Q9) \(2\sqrt 1 \) x \(3\sqrt 1= \) \(6\)
Q9) \(\sqrt { 108 } \) - \(\sqrt { 12 }= \) \(4\sqrt{3}\)
Q10) \(\sqrt{125}\) = \(5\sqrt{5}\)
Q10) \(15 \sqrt 10 \over{ 3 \sqrt 5} \) = \(5\sqrt{2}\)
Q10) \(\sqrt { 18 } \) + \(\sqrt { 18 }= \) \(6\sqrt{2}\)