Question

Square root of 500 ( STEP BY STEP ) by division method.​

Answer 1

Answer:

Step-by-step explanation:

The square root of 500 in mathematical form is written with the radical sign like this √500. We call this the square root of 500 in radical form. The square root of 500 is a quantity (q) that when multiplied by itself will equal 500.

√500 = q × q = q2

Is 500 a perfect square?

500 is a perfect square if the square root of 500 equals a whole number. As we have calculated further down on this page, the square root of 500 is not a whole number.

500 is not a perfect square.

Is the square root of 500 rational or irrational?

The square root of 500 is a rational number if 500 is a perfect square. It is an irrational number if it is not a perfect square. Since 500 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 500?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√500 is an irrational number

Can the square root of 500 be simplified?

You can simplify 500 if you can make 500 inside the radical smaller. We call this process "to simplify a surd". The square root of 500 can be simplified.

√500 = 10√5

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BY Tolety Roshan

Answer 2

$\sqrt{500}$

$= \sqrt{2 \times 2 \times 125}$

$= \sqrt{2 \times 2 \times 5 \times 5 \times 5}$

$= 2 \times 5 \times \sqrt{5}$

$= 10 \sqrt{5}$

For decimal answer = 22.36