Question

1. √50 - √8 + √18 =?
2. 2√80 + √45 - 2√125 =?
3. 3√75 - 4√20 - √80=?
4. √8 - 2√27 + 5√18 =?


minta tolong jawabannya + cara jalannya(rumus) trims

Answer 1

1.
√50 - √8 + √18
= √(25×2) - √(4×2) + √(9×2)
= 5√2 - 2√2 + 3√2 = 6√2

2.
2√80 + √45 - 2√125
= 2√(16×5) + √(9×5) - 2√(25×5)
= 8√5 + 3√5 - 10√5 = √5

3.
3√75 - 4√20 - √80
= 3√(25×3) - 4√(4×5) - √(16×5)
= 15√3 - 8√5 - 4√5 = 15√3 - 12√5

4.
√8 - 2√27 + 5√18
= √(4×2) - 2√(9×3) + 5√(9×2)
= 2√2 - 6√3 + 15√2 = 17√2 - 6√3

Answer 2

1. √50 - √8 + √18
= √25 x √2-√4 x √2+√9 x √2
= 5√2 - 2√2 + 3√2
= (5-2+3) √2
= 6√2

2. 2√80 + √45 - 2√125
= 2√16x5 + √9x5 - 2√25x5
= 2 x 4√5 + 3√5 - 2 x 5√5
= 8√5 + 3√5 - 10√5
= (8+3-10) √5
= 1√5

3. 3√75 - 4√20 - √80
= 3√25x3 - 4 x √4x5 - √16x5
= 3x5√3 - 4x2√5 - 4√5
= 15√4 - 8√5 - 2√5
= 15√4 - (8-2) √5
= 15√4 - 6√5

4. √8 - 2√27 + 5√18
= √4x2 - 2√9x3 + 5√9x2
= 2√2 - 2 x 3√3 + 5 x 3√2
= 2√2 - 6√3 + 15√2
= (2+15) √2 - 6√3
= 17√2 - 6√3