Sederhanakan bentuk akar dibawah ini :
1. √6 × √3 =
2. 2√8 × 3√50 =
3. ( √2 + √3 ) ( √6 + 2 ) =
4. ( 7√3 - 3 )² =
– - – - – - –
√6 × √3
= √6 × 3
= √2 × 3 × 3
= √2 × 3²
= 3√2
2√8 × 3√50
= 2√4 × 2 × 3√25 × 2
= 2√2² × 2 × 3√5² × 2
= 4√2 × 15√2
= 60√4
= 60√2²
= 120
(√2 + √3)(√6 + 2)
= √2(√6 + 2) + √3(√6 + 2)
= √12 + 2√2 + √18 + 2√3
= √4 × 3 + 2√2 + √9 × 2 + 2√3
= √2² × 3 + 2√2 + √3² × 2 + 2√3
= 2√3 + 2√2 + 3√2 + 2√3
= 2√3 + 2√3 + 2√2 + 3√2
= 4√3 + 5√3
(7√3 - 3)²
= (7√3 - 3)(7√3 - 3)
= 7√3(7√3 - 3) - 3(7√3 - 3)
= 147 - 21√3 - 21√3 + 9
= 147 + 9 - 21√3 - 21√3
= 156 - 42√3
– - – - – - –
√6 × √3
= √(6 × 3)
= √18
= √(9 × 2)
= 3√2
[tex] \: [/tex]
2√8 × 3√50
= (2 × 3) × √(8 × 50)
= 6 × √400
= 6 × 20
= 120
[tex] \: [/tex]
(√2 + √3)(√6 + 2)
= (√2)(√6) + (√2)(2) + (√3)(√6) + (√3)(2)
= √12 + 2√2 + √18 + 2√3
= √(4 × 3) + 2√2 + √(9 × 2) + 2√3
= 2√3 + 2√2 + 3√2 + 2√3
= (2 + 2)√3 + (2 + 3)√2
= 4√3 + 5√2
[tex] \: [/tex]
(7√3 - 3)²
= (7√3)² - 2(7√3)(3) + 3²
= 49(3) - 42√3 + 9
= 147 - 42√3 + 9
= 156 - 42√3
[answer.2.content]
