Sqrt And Ceiling

Write a function that returns the square root of a number, rounded up to the nearest integer.

sqrt_and_ceiling(n)

Use the math module's sqrt and ceil functions.

Examples

sqrt_and_ceiling(16)   // → 4    (sqrt is exactly 4.0)
sqrt_and_ceiling(17)   // → 5    (sqrt is ~4.123, rounds up to 5)
sqrt_and_ceiling(2)    // → 2    (sqrt is ~1.414, rounds up to 2)
sqrt_and_ceiling(100)  // → 10

Walkthrough

Thinking it through

import math


def sqrt_and_ceiling(n):
    return math.ceil(math.sqrt(n))

math.sqrt(n) computes the square root as a float — always a float, even for perfect squares (math.sqrt(16) is 4.0, not 4). math.ceil(x) then rounds that float up to the nearest integer, returning an actual int.

Notice the two calls compose directly: math.ceil(math.sqrt(n)) passes the result of the inner call straight into the outer one, without needing an intermediate variable. This is common once you're comfortable with a function's return value — you don't always need to name it first.

For a perfect square like 16, math.sqrt(16) is exactly 4.0, and math.ceil(4.0) is just 4 — rounding up a whole number doesn't change it. For 17, math.sqrt(17) is approximately 4.123, and math.ceil rounds that up to 5.

main.py

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