Question

Find the number of digits in the square root of 169

Answer 1

${169}^{2}$
= 13 × 13
= 13 is the square root of 169.

Hope this helps you.

Answer 2

The number of digits in the square root of 169 is 2

Given :

The number 169

To find :

The number of digits in the square root of 169

Solution :

Step 1 of 3 :

Prime factorise the number

Here the given number is 169

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{13}}}&{\underline{\sf{\:\:169 \:\:}}}\\ {\underline{\sf{13}}}&\underline{\sf{\:\:13 \:\:}} \\ {\underline{\sf{}}}&\underline{\sf{\:\:1 \:\:}} \\ {\underline{\sf{}}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

Thus we get , 169 = 13 × 13

Step 2 of 3 :

Find the square root of 169

169 = 13 × 13 = 13²

The square root of 169

$\displaystyle \sf{ = \sqrt{169} }$

$\displaystyle \sf{ = \sqrt{ {13}^{2} } }$

$\displaystyle \sf{ = 13 }$

Step 3 of 3 :

Find the number of digits in the square root of 169

The square root of 169 is 13

The number of digits in 13 is 2

Hence the number of digits in the square root of 169 is 2

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