Surds - Applications of Surds
Surds - Applications of Surds
TGM Original Questions
A rectangular prism has a square base. The length of each side of the square base is \(\left( \sqrt{7}-\sqrt{5} \right)\)m and the volume of the block is \(\left( 5\sqrt{7}-3\sqrt{5} \right)\)m3. Find, without using a calculator, the height of the block in the form of \(a\sqrt{7}+b\sqrt{5}\).
Video Solution:
Video solution locked
A free account saves your progress; this video needs a course plan.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:Height \(=\left(\dfrac{15}{2}\sqrt7+\dfrac{17}{2}\sqrt5\right)\text{ m}\).
Need help? Join our A-Maths tuition classes.
Learn more