Question

Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.

Answer 1

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

What is a mixed number?

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

• a is the integer part.

• b/c is the fractional part.

In this problem, the numbers are given as follows:

$\sqrt{180}, \sqrt{100 \frac{2}{8}}$

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

More can be learned about mixed numbers at brainly.com/question/1746829

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