Question

Unit digit of square root of 169 =
  A) 3
  B) 7
  C) 1
  D) 9​

Answer 1

Answer:

a) 3    

sqaure root of 169 = 13... unit place of 13 = 3...

Or

root of 9 = 3

Answer 2

Unit digit of square root of 169 is 3

Given :

The number 169

To find :

Unit digit of square root of 169 =

A) 3

B) 7

C) 1

D) 9

Solution :

Step 1 of 3 :

Prime factorise the given number

Here the given number is 169

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

∴ 169 = 13 × 13

Step 2 of 3 :

Find square root of 169

The square root of 169

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

$\displaystyle \sf{ = \sqrt{13 \times 13} }$

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

$\displaystyle \sf{ = 13 }$

Step 3 of 3 :

Find Unit digit of square root of 169

We see that square root of 169 = 13

Therefore Unit digit of square root of 169 is 3

Hence the correct option is A) 3

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