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Simplify √((4x^2)/(3y))

User Onkkno
by
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1 Answer

3 votes

Answer:


(2)/(3)(x√(3y))/(y)

Explanation:


\sqrt{(4x^2)/(3y) }, by laws of roots,
\sqrt{(a)/(b)}=(√(a))/(√(b)), so
(√(4x^2))/(√(3y)), and by laws of roots,
√(ab)=√(a)√(b), therefore
\frac{√(4){√(x^2)}}{√(3)√(y)}, since only the numerator simplifies into real numbers, keep the
√(3y), or,
(√(4)√(x^2))/(√(3y)), then
√(4)=2 and
√(x^2)=x, therefore,
(√(4)√(x^2))/(√(3y))=(2x)/(√(3y)). Then in order to rationalize the denominator, multiply both the numerator and denominator by the denominator, or,
√(3y), therefore,
(2x)/(√(3y))((√(3y))/(√(3y)))=(2x√(3y))/(3y)=(2)/(3)(x√(3y))/(y)

User Haythem Farhat
by
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