how to convert 2 root 21 into 9.17
√21 ki 2 decimal tk ki value find out karke ... usko 2 se multiply karadoo
how to convert 2 root 21 into 9.17
Converting 2√21 into a decimal (9.17)
To convert the expression 2√21 into its decimal form (9.17), we can follow a step-by-step process.
Step 1: Simplify the radical
The first step is to simplify the square root of 21. We know that the square root of a number represents the value that, when multiplied by itself, gives the original number. However, the square root of 21 is an irrational number, meaning it cannot be expressed as a simple fraction. Hence, we leave it in radical form, √21.
Step 2: Multiply by 2
Next, we multiply the simplified radical (√21) by the coefficient (2) in front of it. This gives us 2√21.
Step 3: Evaluate the square root of 21
To further simplify the expression, we need to approximate the value of the square root of 21. The square root of 21 lies between 4 and 5 since 4^2 = 16 and 5^2 = 25. By using estimation, we can determine that the square root of 21 is approximately 4.58.
Step 4: Multiply the coefficient by the approximation
We now multiply the coefficient (2) by the approximation of the square root of 21 (4.58), which gives us 2 * 4.58 = 9.16.
Step 5: Round to two decimal places
Finally, to obtain the decimal form with two decimal places (9.17), we round the result from step 4 to the nearest hundredth. In this case, 9.16 rounds up to 9.17.
Conclusion
To convert 2√21 into a decimal, we followed a step-by-step process including simplifying the radical, multiplying by the coefficient, approximating the square root of 21, multiplying the coefficient by the approximation, and rounding the result to two decimal places. This resulted in the decimal form 9.17.
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