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How to calculate root 10 without scientific calculator?

Prachi Srivastava (Finance) (368 Points)

26 November 2014

Hi All,

While doing a problem in AS 12(Government Grants), I need to calculate the Rate of Depreciation using below formula-

Rate of Depreciation=1-(10 $\sqrt{\,\,}$ (2.5/10))

i.e. I need to calculate 10th root of 0.25. How do I do this without using Scientific Calculator?

Regards,

Prachi

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5 Replies

Sathish M (Management Accountant) (40581 Points)
Replied 26 November 2014

Check the link on CCI for understanding..!!

/forum/maths-account-query-41970.asp#.VHW8jtKUdCg

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ABHINANDAN JAIN (CA Student) (886 Points)
Replied 13 December 2014

In CA, our teacher (Sanjay saraf sir, finance guru) use to call 'Dirty Power' if power of any figure is not simply calculated by using simple calculator.

In your case too, 10 is dirty power

How to solve dirty powers:

Step 1: 12 times square root of figure in bracket i.e. .25 in ur case

Step 2: Deduct 1

Step 3: Divide by Power, Divide 10 in ur case

Step 4: Add 1

Step 5: Do x= x=(to be read as multiply & Equal to)...12 times

One more Demo:

(1.07) to the power 2/9

solution: 12 times square root of 1.07 x 2 i.e. of 1.1449

Deduct 1

Divide by 9

Add 1

Do X= 12 times

Result is 1.0151

Prachi Srivastava (Finance) (368 Points)
Replied 28 December 2014

Hi Abhinandan,

for calculation of Rate of Depreciation=1-(10(2.5/10)), I got following results for your different steps. Is this correct? Also can you explain step 5 in below example?

Step 1: 12 times square root of figure in bracket i.e. .25 in ur case

Solution:: 0.99966160648

Step 2: Deduct 1

Solution:: (-0.00033839352)

Step 3: Divide by Power, Divide 10 in ur case

Solution::(-0.00003383952)

Step4: Add 1

Solution::0.99996616065

Step 5: Do x= x=(to be read as multiply & Equal to)...12 times

Solution :: ????(what should be answer here?)