Question

Sederhanakan btk penjmlhan dan
pengurangan akar
a. √700 + √180 + √80 - √721
b. 2√150 - 3√54 - √294 + 3√486
c. √12 + √27 + √75

Answer 1

A. √700+√180+√80+√721
=√100.7+√36.5+√16.5+√103.7
=10√7+6√5+4√5+√103+√7
=11√7+10√5+√103

b. 2√150-3√54-√294+3√486
=2√25.6-3√9.7-√49.6+3√81.6
=2.5√6-3.3√7-7√6+3.9√6
=10√6-9√7-7√6+27√6
=30√6-9√7

c. √12+√27+√75
=√4.3+√9.3+√25.3
=2√3+3√3+5√3
=10√3

Answer 2

A)
√700 + √180 + √80 - √721
= √(100.7) + √(36.5) + √(16.5) - √721
= 10√7 + 6√5 + 4√5 - √721
= 10√7 + 10√5 - √721


b)
2√150 - 3√54 - √294 + 3√486
= 2√(25.6) - 3√(9.6) - √(49.6) +
3√(81.6)
= 2.5√6 - 3.3√6 - 7√6 + 3.9√6
= 10√6 - 9√6 - 7√6 + 27√6
= (10-9-7+27).√6
= (1-7+27).√6
= (-6+27).√6
= 21√6


c)
√12 + √27 + √75
= √(4.3) + √(9.3) + √(25.3)
= 2√3 + 3√3 + 5√3
= (2+3+5).√3
= (5+5).√3
= 10√3