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Vladimir79 [104]
3 years ago
15

Classify the following is rational or irrational(a) √45​

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

\sqrt{45} =\sqrt{3 \times 3 \times 5}

\sqrt{45} =3\sqrt{5}

3\sqrt{5} is an irrational number, it cannot be expressed in the form of a fraction.

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<h2>Answer:</h2>

BC ≅ 11cm

<h2>Step-by-step explanation:</h2>

To accomplish this task, follow these steps:

i. Using your ruler, draw a line AB with length 8cm as shown in Figure 1. This will give AB = 8cm

ii. Remove the ruler and place your protractor at the point A and parallel to line AB as shown in Figure 2. Make a dot at the mark 90° of the protractor (See Figure 2). For accuracy, ensure that the 180° mark of the protractor is on the line AB.

iii. From point A through the dot in (ii) above, use a ruler to draw a line AC of length 8cm as shown in Figure 3. This will give AC = 8cm and will also give angle CAB = 90°

iv. Now join points C and B by drawing a line from point A to C using a ruler as shown in Figure 4.

v. Lastly, measure the length of BC by placing your ruler on line BC as shown in Figure 5. This should give a value of about 11cm.

Therefore the length of BC = 11cm approximately.

<em>NB: All figures are attached to this response. </em>

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