Question

If Root(1369)=37,find the value of:Root(13.69)+Root(0.1369)+Root(0.001369)=

Answer 1

Since, √1369= 37

Therefore, √13.69= 3.7

√0.1369=0.37

√0.001369= 0.037

Therefore

3.7+0.37+0.037= 4.107........ANS

Hope U Got the Ans , U just have to substitute the value given in the roots

Answer 2

√13.69 + √0.1369 + √0.001369 = 4.107

Given :

√1369 = 37

To find :

The value of √13.69 + √0.1369 + √0.001369

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that √1369 = 37

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf \sqrt{13.69} + \sqrt{0.1369} + \sqrt{0.001369}$

$\displaystyle \sf = \sqrt{ \frac{1369}{100} } + \sqrt{ \frac{1369}{10000} } + \sqrt{ \frac{1369}{1000000} }$

$\displaystyle \sf = \frac{ \sqrt{1369} }{ \sqrt{100} } +\frac{ \sqrt{1369} }{ \sqrt{10000} } + \frac{ \sqrt{1369} }{ \sqrt{1000000} }$

$\displaystyle \sf = \frac{37}{10} + \frac{37}{100} + \frac{37}{1000}$

$\displaystyle \sf = 3.7 + 0.37 + 0.037$

$\sf = 4.107$

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