Which one is a irrational number and why ?

Mathematics

2 answers:

labwork [276]3 years ago

6 0

Answer:

A. √40

Step-by-step explanation:

√49 = 7

√100 = 10

√9 = 3

but,

√40 = 6.32455532, so this is immperfect square

Gnom [1K]3 years ago

4 0

Answer: Option A, the square root of 40, is an irrational number.

Step-by-step explanation:

We are given 4 options:

- the sqrt of 40

- the sqrt of 49

- the sqrt of 100

- the sqrt of 9

All but one are perfect squares. Let's find out which one is not a perfect square.

The sqrt of 49 is 7. 7 times 7 is equal to 49.

The sqrt of 100 is 10. 10 times itself is equal to 100.

The sqrt of 9 is 3. 3 times 3 is equal to 9.

What about the square root of 40?

We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!

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A is plotted on a coordinate grid at start bracket 3 and 1 over 2, negative 1 end bracket.. Choose the correct grid that best sh

dalvyx [7]

Answer:

A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin

Step-by-step explanation:

In a coordinate grid, the y axis is plotted on the vertical axis and the x axis is plotted on the horizontal axis. A is plotted on a coordinate grid at ( $3\frac{1}{2},-1$ ) i.e ( $\frac{7}{2},-1$ ). Above the origin is the positive y axis, below the origin is the negative y axis, right of the origin is the positive x axis and left of the origin is the negative x axis.

To plot A on the coordinate axis we need to locate $3\frac{1}{2}$ on the x axis and -1 on the y axis. $3\frac{1}{2}$ is halfway between 3 and 4, since the x coordinate is positive it is located to the right between 3 and 4 and since the y coordinate is negative it is located 1 unit down from the origin.