EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Simplification & Approximation · Question 71 of 71

Question 71

HardOriginal question

What is 2600×12.022153\dfrac{\sqrt{2600} \times 12.02}{\sqrt[3]{215}} approximately equal to?

Options for question 71

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 26002600 is close to 2601=5122601 = 51^2, so 2600≈51\sqrt{2600} \approx 51.

  2. 215215 is close to 216=63216 = 6^3, so 2153≈6\sqrt[3]{215} \approx 6.

  3. 51×126=51×2=102\frac{51 \times 12}{6} = 51 \times 2 = 102.

Worth noting

Taking 2600\sqrt{2600} as 50 gives exactly 100, which still points to 102 because the choices are 20 apart. The exact value is about 102.3.

Concept
Estimating with square and cube roots together
Typical time
90 s
Your time
—
The rule this testsApproximation
Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.