Question

Without using a calculator, order the following expressions from least to greatest:

a. [ sqrt17 ],
b. [ sqrt20 ],
c. [ dfrac113 ]

Answer 1

To order the given expressions from least to greatest, you can approximate the square roots and compare the fractions. The order from least to greatest is [{1}/{13}], [{1}/{10}], [√(20)], [√(17)].

Step-by-step explanation:

Ordering the expressions from least to greatest: a. [√(17)] b. [√(20)] c. [{1}/{13}]

Approximating the square roots:a. [√(17)] ≈ [√(16)] = 4b. [√(20)] ≈ [√(25)] = 5c. [{1}/{13}] ≈ [{1}/{10}]

Comparing the expressions:[√(17)] ≈ 4[√(20)] ≈ 5[{1}/{13}] ≈ [{1}/{10}]

Ordering from least to greatest:[{1}/{13}], [{1}/{10}], [√(20)], [√(17)]