The answer to this question is:
√ 9x⁴ / 36 = x² / 2
- We have to make this expression in its lowest form, by cancelling it with its common factors.
- So, we have to make this expression √ 9x⁴ / 36 in its lowest form by cancelling it with its common factors.
√ 9x⁴ / 36
- Common factor is 9 here, so, taking 9 common from this.
= √ 9 x⁴ / 9*4
= √ x⁴ / 4
- Now, we have to rewrite it as :
x⁴ = x² * x² = ( x² )² and 4 = 2*2 = ( 2 )²
- So, the square root of x⁴ is x².
- And the square root of 4 is 2.
So, √ x⁴ / 4 = ( x² / 2 )²
- Extraction of words from behind the radical while assuming positive real numbers.
√ x⁴ / 4 = x² / 2
Therefore, √9x⁴/ 36 in simplified form is x² / 2
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