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Simplify the radical, the square root of x^13
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Mar 17, 2018
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Simplify the radical, the square root of x^13
Mathematics
high-school
Peter Lemenkov
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Peter Lemenkov
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√(x^13) is equal to:
(x^13)^(1/2) which is equal to:
(x^12*x^1)^(1/2) which is equal to
(x^12)^(1/2)*(x^1)^(1/2)
and the applicable rule: (a^b)^c=a^(b*c) so
x^(12*1/2)*x^(1*1/2)
x^6*x^(1/2)
x^6√x
Mfeineis
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Mar 18, 2018
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Mfeineis
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Rewrite it as a perfect square.
√x¹²x
Write it as a product of two radicals.
√x¹²√x
Simplify √x¹² (divide for 2)
√x¹² * 1/2
x⁶√x
Jonas Stein
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Mar 23, 2018
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Jonas Stein
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