Question

a) 6√8+√32-2√50=
b)√108+√27-2√75+2√3=
c) 2√24+3√54-2√150+5√6=
d)√18a*2+√50a*2-√98a*2+√2a*2=
e) √36xy + √9xy - √100xy + √4xy
f) 4*3√3 - 2*3√81 + *3√24 - *3√3

Answer 1

Resposta:

Explicação passo-a-passo:

A) 6√8+√32-2√50=

= 6.√4.√2 + √16.√2 - 2.√25.√2

= 6.2√2 + 4√2 - 2.5.√2

= 12√2 + 4√2 - 10√2

= 6√2

b)

= √108+√27 - 2√75+2√3

= √36.√3 +√9.√3 - 2.√25.√3 + 2√3

= 6√3 + 3√3 - 2.5√3 + 2√3

= 9√3 - 10√3 + 2√3

= 1√3

c)

= 2√24 + 3√54 - 2√150+5√6

= 2.√4.√6+3√9.√6 -2√25.√6+5√6

=2.2√6 + 3.3√6 - 2.5.√6 + 5√6

=4√6 + 9√6 - 10√6 + 5√6

= 8√6

d)

= √18a*2+√50a*2-√98a*2+√2a*2

= √18.a +√25.√2.a -√49.√2.a + a√2

= √9.√2.a + 5a√2 - 7a√2 + a√2

= 3a√2 - a√2

= 2a√2

e) √36xy + √9xy - √100xy + √4xy

= 6xy + 3xy - 10xy + 2xy

= 1 xy

f) 4*3√3 - 2*3√81 + *3√24 - *3√3

= 4. ³√3 - 2.³√81 + ³√24 - ³√3

=4 . ³√3 - 2 ³√27 .³√3 + ³√8 . ³√3 - ³√3

=4 . ³√3 - 2. 3 . ³√3 + 2 . ³√3 - ³√3

=4. ³√3 - 6. ³√3 + 1 ³√3

= - 1 . ³√3