Number | Square root | Number of digits in square root |

36 | 6 | 1 |

144 | 12 | 2 |

169 | 13 | 2 |

441 | 21 | 2 |

6084 | 78 | 2 |

4356 | 66 | 2 |

10201 | 101 | 3 |

Let n = Number of digits of number

Let’s do some examples

####
**
Find number of digits in square root of 529.
**

Number of digits of 529 = n = 3

Since n is odd

∴ Number of digits in square root = (n + 1)/2

= (3 + 1)/2=4/2=
**
2
**

####
**
Find
**
**
number of digits in square root of
**
**
100489.
**

Number of digits of 100489 = n = 6

Since n is even

∴ Number of digits in square root = n/2

= 6/2 =
**
3
**