sederhanakan bilangan berikut: a.√27 + √12 - √300 b.√8 - √20 + √50 √80 c.√75 - √48 + √28 d.√24 - √150 - √54 + √600 e.√9 + √200 - √72

sederhanakan bilangan berikut:

a.√27 + √12 - √300

b.√8 - √20 + √50 √80

c.√75 - √48 + √28

d.√24 - √150 - √54 + √600

e.√9 + √200 - √72

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Jawaban terverifikasi

Delima R

27 Agustus 2024 13:35

Jawaban terverifikasi

a. √27 + √12 - √300 = √9.3 + √4.3 - √100.3 = 3√3 + 2√3 - 10√3 = 5√3 - 10√3 = -5√3 b. √8 - √20 + √50 - √80 = √4.2 - √4.5 + √25.2 - √16.5 = 2√2 - 2√5 + 5√2 - 4√5 = 7√2 - 6√5 c. √75 - √48 + √28 = √25.3 - √16.3 + √4.7 = 5√3 - 4√3 + 2√7 = 1√3 + 2√7 d. √24 - √150 - √54 + √600 = √4.6 - √25.6 - √9.6 + √100.6 = 2√6 - 5√6 - 9√6 + 10√6 = -3√6 - 9√6 + 10√6 = -12√6 + 10√6 = -2√6 e. √9 + √200 - √72 = 3 + √100.2 - √36.2 = 3 + 10√2 - 6√2 = 3 + 4√2

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Afrah A

27 Agustus 2024 13:28

a.  √27 + √12 - √300  = √9.3 + √4.3 - √100.3 = 3√3 + 2√3 - 10√3 = (3+2-10)√3 = -5√3b. √8 - √20 + √50 - √80  = √4.2 - √4.5 + √25.2 - √16.5 = 2√2 - 2√5 + 5√2 - 4√5 = (2+5)√2 + (-2-4)√5 = 7√2 - 6√5 c. √75 - √48 + √28  = √25.3 - √16.3 + √4.7 = 5√3 - 4√3 + 2√7 = (5-4)√3 + 2√7 = √3 + 2√7 d. √24 -√150 + √54 + √600  = √4.6 - √25.6 + √9.6 + √100.6 = 2√6 - 5√6 + 3√6 + 10√6 = 10√6 e. √9 + √200 -√72  = √3.3 + √100.2 - √36.2 = 3 + 10√2 - 6√2 = 3 + 4√2

a.
√27 + √12 - √300
= √9.3 + √4.3 - √100.3
= 3√3 + 2√3 - 10√3
= (3+2-10)√3
= -5√3

b.
√8 - √20 + √50 - √80
= √4.2 - √4.5 + √25.2 - √16.5
= 2√2 - 2√5 + 5√2 - 4√5
= (2+5)√2 + (-2-4)√5
= 7√2 - 6√5
c.
√75 - √48 + √28
= √25.3 - √16.3 + √4.7
= 5√3 - 4√3 + 2√7
= (5-4)√3 + 2√7
= √3 + 2√7
d.
√24 -√150 + √54 + √600
= √4.6 - √25.6 + √9.6 + √100.6
= 2√6 - 5√6 + 3√6 + 10√6
= 10√6
e.
√9 + √200 -√72
= √3.3 + √100.2 - √36.2
= 3 + 10√2 - 6√2
= 3 + 4√2