Question

If √5 = 2.23606798, the √250 =?​

Answer 1

Answer:

15.81139

Step-by-step explanation:

√ 250

The √ symbol is called the radical sign. To simplify the square root of 250 means to get the simplest radical form of √250.

Step 1: List Factors

List the factors of 250 like so:

1, 2, 5, 10, 25, 50, 125, 250

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 25

Step 3: Divide

Divide 250 by the largest perfect square you found in the previous step:

250 / 25 = 10

Step 4: Calculate

Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 250 in its simplest form:

5 √ 10