Question

efetue​
a)√3+√27
b)√75-√12
c)7√2+√80
d)√12-√75+√3
e)3√20+√32-2√45+√50
f)√125 + 2√27-√20+3√2

Answer 1

a) 4√3
b)3√3
c)7√2 + 4√5
d)2√3
e)9√2
f) 3√5 +6√3 +3√2

Answer 2

a)
= √3 + √27
= √3 + √9.√3
= √3 + 3√3
= 4√3

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
= √75 - √12
= √25.√3 - √4.√3
= 5√3 - 2√3
= 3√3


¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
= 7√2 + √80
= 7√2 + √16.√5
= 7√2 + 4√5


¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
d)
= √12 - √75 + √3
= √4.√3 - √25.√3 + √3
= 2√3 - 5√3 + 1√3
= - 3√3 + 1√3
= - 2√3

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e)
= 3√20 + √32 - 2√45 + √50
= 3.√4.√5 + √16.√2 - 2.√9.√5 + √25.√2
= 3.2√5 + 4√2 - 2.3√5 + 5√2
= 6√5 + 4√2 - 6√5 + 5√2
= 6√5 - 6√5 + 4√2 + 5√2
= 9√2

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f)

= √125 + 2√27 - √20 + 3√2
= √25.√5 + 2.√9.√3 - √4.√5 + 3√2
= 5√5 + 2.3√3 - 2√5 + 3√2
= 5√5 + 6√3 - 2√5 + 3√2
= 5√5 - 2√5 + 6√3 + 3√2
= 3√5 + 3√2 + 6√3
= 3.(√5 + √2 + 2√3)