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Is 4 2/5 greater than the square root of 19

2 Answers

6 votes

Answer:yes

Explanation:

because 4 2/5 is 4.4

and the square root of 19 is 4.358

User Hossein Vejdani
by
4.8k points
0 votes

Answer:

yes, 4 2/5 > √19

Explanation:

You want to know if 4 2/5 is greater than √19.

Comparison

There are several ways you can determine the relationship between these numbers. If you have a calculator, you can simply subtract one from the other. The sign of the result will tell you which is greater:

4 2/5 -√19 ≈ 0.0411 > 0 . . . . . . 4 2/5 is larger

Even without a calculator, you can square both numbers. Squaring positive numbers does not change their order, so ...

(4 2/5)² = 19.36 . . . . . . . . . . . . 4 2/5 is larger than √19

(√19)² = 19

Your calculator can tell you the decimal value of the two numbers, so you can compare their values yourself (as opposed to using subtraction).

4 2/5 = 4.400 . . . . . . . . . . . 4 2/5 is larger than √19

√19 ≈ 4.359

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Is 4 2/5 greater than the square root of 19-example-1
User Mark Maslar
by
5.8k points