Question

Simplify it. ...........​

Answer 1

Heya!

Here is ur answer..

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(i)3√45-√125+√200-√50

= 3(√9)(√5)- (√25)(√5)+(√2)(√100)-(√2)(√25)

= 3(3)(√5)-(5)(√5)+(√2)(10)-(√2)(5)

= 9√5-5√5+10√2-5√2

= 4√5 + 5√2

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$(ii) \frac{2 \sqrt{30} }{ \sqrt{6} } - \frac{3 \sqrt{140} }{ \sqrt{28} } + \frac{ \sqrt{55} }{ \sqrt{99} } \\ \\ = \frac{2 \sqrt{6} \times \sqrt{5} }{ \sqrt{6} } - \frac{6 \sqrt{7} \times \sqrt{5} }{2 \sqrt{7} } + \frac{ \sqrt{11} \times \sqrt{5} }{ 3\sqrt{11} } \\ \\ = 2 \sqrt{5 } - 3 \sqrt{5 } + \frac{ \sqrt{5} }{3} \\ \\ = \frac{6 \sqrt{5} - 9 \sqrt{5} + \sqrt{5} }{3} \\ \\ = \frac{-2 \sqrt{5} }{3}$

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(iii) √72 +√800 -√8

= (√2)(√36) + (√2)(√400)-(√2)(√4)

= √2(6) + √2(20) -√2(2)

= 6√2 + 20√2 -2√2

= 26√2 -2√2

= 24√2

Hope it helps u..

Answer 2

Answer

(i)3√45-√125+√200-√50

= 3(√9)(√5)- (√25)(√5)+(√2)(√100)-(√2)(√25)

= 3(3)(√5)-(5)(√5)+(√2)(10)-(√2)(5)

= 9√5-5√5+10√2-5√2

= 4√5 2

(iii) √72 +√800 -√8

= (√2)(√36) + (√2)(√400)-(√2)(√4)

= √2(6) + √2(20) -√2(2)

= 6√2 + 20√2 -2√2

= 26√2 -2√2

= 24√2