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WorksheetsUnit 7-Prime Factorization & GCF
Total questions: 17
Worksheet time: 26mins
In the year 2123, a new energy source is discovered that combines the power of √5 units and √10 units. Calculate the total energy output in futuristic units.
50
2√5
5√2
5√10
In a futuristic world, energy crystals are used as a power source. If one energy crystal has a power of √3 units and another has a power of √15 units, what is the combined power when they are used together?
3√5
5√3
2√7
√17
In a futuristic energy lab, scientists are experimenting with energy crystals. Each crystal has an energy value represented by √6. If two such crystals are combined, what is the total energy value?
√36
2√3
12
6
In the year 2123, a space explorer finds two mysterious energy crystals on a distant planet. The energy levels of these crystals are measured as √10 and √45 units respectively. To unlock a hidden chamber, the explorer needs to combine the energy of both crystals. Calculate the total energy level:
√10 ⋅ √45
3√50
8√2
√450
15√2
In a futuristic space station, energy crystals are measured in units of √30 and √20 . If a scientist combines one unit of each type of crystal, what is the total energy measurement?
√600
5√2
10√6
2√150
In the year 2123, a new energy crystal is discovered on Mars. Scientists find that the energy output of the crystal is proportional to the square root of its mass. If a crystal has a mass of 28 units, calculate the energy output in simplified form:
√28
7√2
7√4
4√7
2√7
In a futuristic world, energy crystals are used to power devices. Each energy crystal has a power level represented by its root value. If you combine an energy crystal with a power level of √8 with another having a power level of √2, what is the resulting power level of the combined energy crystal?
4
√16
2√2
2√4
In a futuristic world, energy crystals are used to power advanced technology. Two types of energy crystals, Crystal A and Crystal B, have energy levels represented by √18 and √2 respectively. When combined, what is the total energy level of the new crystal formation?
3√12
6
√36
2√9
In the year 2123, a space engineer is designing a propulsion system for a new spacecraft. Choose the components that will optimize the thrust efficiency.
4
4x
2x - 3
2x²-3
In the year 2123, a space engineer is optimizing the fuel efficiency of a spacecraft. The fuel consumption is represented by the expression 12x + 30 units. What is the greatest common factor of the fuel consumption expression?
2
3
6
6x
