Question

find 4.5 the square root of the following correct to two decimal places step by step explain​

Answer 1

Answer:

2.12

Step-by-step explanation:

Step 1:

Divide the number (4.5) by 2 to get the first guess for the square root .

First guess = 4.5/2 = 2.25.

Step 2:

Divide 4.5 by the previous result. d = 4.5/2.25 = 2.

Average this value (d) with that of step 1: (2 + 2.25)/2 = 2.125 (new guess).

Error = new guess - previous value = 2.25 - 2.125 = 0.125.

0.125 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 4.5 by the previous result. d = 4.5/2.125 = 2.1176470588.

Average this value (d) with that of step 2: (2.1176470588 + 2.125)/2 = 2.1213235294 (new guess).

Error = new guess - previous value = 2.125 - 2.1213235294 = 0.0036764706.

0.0036764706 <= 0.01. As error <= accuracy, we stop the iterations and use 2.1213235294 as the square root.

So, we can say that the square root of 4.5 is 2.12

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