Simplify the following:
sqrt(15^2 + 15^2 + 3×15^2)
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
sqrt(15^2 + 15^2 + 3×225)
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
sqrt(225 + 15^2 + 3×225)
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
sqrt(225 + 225 + 3×225)
3×225 = 675:
sqrt(225 + 225 + 675)
225 + 225 + 675 = 1125:
sqrt(1125 )
sqrt(1125) = sqrt(9×125) = sqrt(3^2×5^3):
sqrt(3^2 5^3)
sqrt(3^2 5^3) = sqrt(3^2) sqrt(5^3) = 3^(2/2)×5^(3/2) = 3×5 sqrt(5):
3×5 sqrt(5)
3×5 = 15:
Answer: |15 sqrt(5)
