Use square roots,reciprocal and squares tables to evaluate to 4 significant figures the expression (0.06458)^1/2+(2/0.4327)^2
To evaluate the expression (0.06458)^(1/2) + (2/0.4327)^2 using square roots, reciprocals, and squares tables, we can follow these steps:
1. First, let's find the square root of 0.06458 using a square roots table.
- The square root of 0.06458 is approximately 0.2543 (rounded to four decimal places).
2. Next, let's find the reciprocal of 0.4327 using a reciprocals table.
- The reciprocal of 0.4327 is approximately 2.3103 (rounded to four decimal places).
3. Now, let's square the reciprocal value we found in step 2.
- (2.3103)^2 = 5.3358 (rounded to four decimal places).
4. Finally, let's add the results from step 1 and step 3.
- 0.2543 + 5.3358 = 5.5901 (rounded to four decimal places).
Therefore, the expression (0.06458)^(1/2) + (2/0.4327)^2 evaluates to approximately 5.5901 when rounded to four significant figures using square roots, reciprocals, and squares tables.