Question

drag the numbers to the boxes to order them from least to greatest value.
□ < □ < □ < □
2√5 5.3 3√3 4.1

Explanation:

Step1: Calculate decimal value of $2\sqrt{5}$

$\sqrt{5}\approx2.236$, so $2\sqrt{5}\approx2\times2.236=4.472$

Step2: Calculate decimal value of $3\sqrt{3}$

$\sqrt{3}\approx1.732$, so $3\sqrt{3}\approx3\times1.732=5.196$

Step3: Compare all decimal values

$4.1 < 4.472 < 5.196 < 5.3$

Answer:

$4.1 < 2\sqrt{5} < 3\sqrt{3} < 5.3$