Question

Efetue:
a)√75- √12=
b)7√2 + √50=
c)√12 - √75 + √3=
d)3√20 + √32 - 2√45 + √50=
e) √125 + 2√27 - √20 + 3√12=

Answer 1

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

b)
= 7√2 + √50
= 7√2 + √25.√2
= 7√2 + 5√2
= 12√2
c)
= √12 - √75 + √3
= √4.√3 - √25.√3 + √3
= 2√3 - 5√3 + 1√3
= - 3√3 + 1√3
= - 2√3

d)
= 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
= 9√2

e)
= √125 + 2√27 - √20 + 3√12
= √25.√5 + 2√9.√3 - √4.√5 + 3√4.√3
= 5√5 + 2.3√3 - 2√5 + 3.2√3
= 5√5 + 6√3 - 2√5 + 6√3
= 3√5 + 12√3