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You can find the square root of an irrational number by approximating irrational square roots of them, after you use the calculator. (The calculator gives an approximate root also) For example,

1. Approximate the square root of 4.3 to the nearest hundredth.

Use the calculator, which shows 2. 0736444135.

Since 3 < 5 round down to 2.07 and drop the digits to the right of 7.

2. Approximate the negative square root of 10.8 to the nearest hundredth.

Use the calculator, which shows -3.286335345

Since 6 > 5 round up to -3.29 and drop the digits to the right of 8.

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Q: How do you find the square root of an irrational numbers?
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Related questions

Is the square root of 225 a subset of the irrational numbers?

The square root of 225 is 15, which is NOT an irrational number.


What is example of irrational numbers?

[ square root of (2) ] is irrational


Is the square root of negative 6 irrational?

No, it is not irrational because it is a square root of a negative number - which falls into the set of Complex numbers. Irrational numbers can not have an imaginary component.


How do you find an irrational square root?

An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.


What two consecutive numbers make up the square root of 300?

The square root of 300 is irrational. Irrational numbers are infinitely dense and therefore the concept of consecutive numbers cannot be applied to irrational numbers.


Is the square root of -4 irrational?

The square root of -4 is not irrational, it is imaginary. Irrational numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.In calculus, the root is expressed as 2i where iis the square root of -1.


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