Question

How would you answer Q5 e step by step please

Answer 1

Answer:

See below.

Step-by-step explanation:

a) √2 + √50 + √98

= √2 + 5√2 + 7√2

= 13√2

c) 5√7 + 2√5 - 3√28

= 5√7 + 2√5 - 6√7

= 2√5 - √7

e) √150 - √96 - √162 + √72

= 5√6 - 4√6 - 9√2 + 6√2

= √6 - 3√2

g) 7√3 - 2√8 + √12 + 3√8

= 7√3 - 4√2 + 2√3 + 6√2

= 9√3 + 2√2

i) 3√49 + 2√288 - √144 - 2√18

= 21 + 24√2 - 12 - 6√2

= 9 + 18√2

= 9(1+ √2)

Answer 2

Answer:

$\sqrt{6} -3\sqrt{2}$

Step-by-step explanation:

$\sqrt{150} -\sqrt{96} -\sqrt{162} +\sqrt{72}$

$=\sqrt{25\cdot6} -\sqrt{16\cdot6} -\sqrt{81\cdot2} +\sqrt{36\cdot2}$

$=\sqrt{25}\sqrt{6} -\sqrt{16}\sqrt{6} -\sqrt{81}\sqrt{2} +\sqrt{36}\sqrt{2}$

$=5\sqrt{6} -4\sqrt{6} -9\sqrt{2} +6\sqrt{2}$

$=\sqrt{6} -3\sqrt{2}$