Study guides

☆☆

Q: Is the square root of 200 rational or irrational?

Write your answer...

Submit

Still have questions?

Related questions

It is an irrational number

It is an irrational number because it can't be expressed as a fraction.

Yes.

200 is rational.Generally, a number is rational unless it involves roots, (like square root, cube root, ect.) or is a special number, like pi.An irrational number is a number that cannot be expressed as a fraction. This means that it has and infinite amount of digits that never repeat.

First, simplify the number: sqrt(200) = sqrt(2 x 100) = 10 x sqrt(2) Because sqrt(2) is an irrational number, in this case, sqrt(200) is irrational.

because the square root of 200 has a decimal that doesn't end or repeat. like pi 3.141592654........ no repetition/pattern and it goes on forever so it is irrational

It will be the square root of 200 which is an irrational number.

The square roots of some numbers are rational: eg sqrt(4) = 2, sqrt(0.04) = 0.2, sqrt(400) = 20 The square roots of some numbers are irrational eg sqrt(2) = 1.414 (approx), sqrt(0.02) = 0.1414 (approx), sqrt(200) = 14.14 (approx) The square roots of negative numbers are neither rational nor irrational, but imaginary.

The root of ab is the same as the root of a multiplied by the root of b. So root 200 = root 100 x root 2 root 100 is 10, root 2 is an irrational number. Multiplying 10 by an irrational number gives an irrational number. Therefore, root 200 never ends.

It is an irrational number and to the nearest tenth it is 14.1

The square root of 200 ≈ 14.14213562373. If you were to use rational numbers, you could multiply 100 by 2.

200 is a square root, of 40000.

People also asked