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8 grade maths

How do you simplify the square root of 30 - square root of 3?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To simplify the expression "square root of 30 - square root of 3" (√30 - √3), we first note that it doesn't simplify directly into a simpler radical form. However, we can attempt to combine or factor the terms in certain cases. Here's the step-by-step process:

The expression given is: √30 - √3

We cannot combine these square roots because they are not of the same value and do not share a common factor that would allow them to be simplified further.

However, you can rationalize the expression if it involves division, but in this case, since it's a subtraction of two square roots, it cannot be simplified further into a more basic form.

Thus, the expression √30 - √3 remains as it is, since there are no common factors between the terms under the square roots. It is already in its simplest form.