Question

The square root of 7.5 x 7.5 is​

Answer 1

→Answers :

→ 7.5 × 7.5

→56.25.

→Square Root :

→ √56.25

→ 7.5

Answer 2

Answer:

The square root of 7.5 is 2.7386127875258. Or,

√7.5 = 2.7386127875258

Step-by-step explanation:

Step 1:

Divide the number (7.5) by 2 to get the first guess for the square root .

First guess = 7.5/2 = 3.75.

Step 2:

Divide 7.5 by the previous result. d = 7.5/3.75 = 2.

Average this value (d) with that of step 1: (2 + 3.75)/2 = 2.875 (new guess).

Error = new guess - previous value = 3.75 - 2.875 = 0.875.

0.875 > 0.001. As error > accuracy, we repeat this step again.

Step 3:

Divide 7.5 by the previous result. d = 7.5/2.875 = 2.6086956522.

Average this value (d) with that of step 2: (2.6086956522 + 2.875)/2 = 2.7418478261 (new guess).

Error = new guess - previous value = 2.875 - 2.7418478261 = 0.1331521739.

0.1331521739 > 0.001. As error > accuracy, we repeat this step again.

Step 4:

Divide 7.5 by the previous result. d = 7.5/2.7418478261 = 2.7353815659.

Average this value (d) with that of step 3: (2.7353815659 + 2.7418478261)/2 = 2.738614696 (new guess).

Error = new guess - previous value = 2.7418478261 - 2.738614696 = 0.0032331301.

0.0032331301 > 0.001. As error > accuracy, we repeat this step again.

Step 5:

Divide 7.5 by the previous result. d = 7.5/2.738614696 = 2.7386108791.

Average this value (d) with that of step 4: (2.7386108791 + 2.738614696)/2 = 2.7386127876 (new guess).

Error = new guess - previous value = 2.738614696 - 2.7386127876 = 0.0000019084.

0.0000019084 <= 0.001. As error <= accuracy, we stop the iterations and use 2.7386127876 as the square root.