# 2022-07-02

## [69. Sqrt(x)](https://leetcode.com/problems/sqrtx/)

### Description

Given a non-negative integer `x`, compute and return *the square root of* `x`.

Since the return type is an integer, the decimal digits are **truncated**, and only **the integer part** of the result is returned.

**Note:** You are not allowed to use any built-in exponent function or operator, such as `pow(x, 0.5)` or `x ** 0.5`.

**Example 1:**

```
Input: x = 4
Output: 2
```

**Example 2:**

```
Input: x = 8
Output: 2
Explanation: The square root of 8 is 2.82842..., and since the decimal part is truncated, 2 is returned.
```

**Constraints:**

* `0 <= x <= 2^31 - 1`

### Solution

#### Approach #0: **Binary Search**

```go
func mySqrt(x int) (ans int) {
    l, r := 0, x
    for l <= r {
        mid := l + (r-l)/2
        if mid*mid <= x {
            ans = mid
            l = mid + 1
        } else {
            r = mid - 1
        }
    }
    return
}
```


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