Question

Estimate the value of the following square root to the nearest whole number (√800).
Please explain me this problem in step by step, for class 8th

Answer 1

Step-by-step explanation:

List the factors of 800 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Identify the perfect squares from the list of factors above:

1, 4, 16, 25, 100, 400

Divide 800 by the largest perfect square you found in the previous step:

800 / 400 = 2

Calculate the square root of the largest perfect square:

√400 = 20

Put Steps 3 and 4 together to get the square root of 800 in its simplest form:

20 √ 2

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