Racionaliza cada expresion?

Respuesta : Racionalizar cada expresión :

a ) 4ab / ∛x²y³z³b = 4ab / yz∛x²b * ∛xb² / ∛xb² = 4ab∛xb² / yzxb = 4a∛xb² / yzx b) h / (√x + h - √x ) * ( √x + h + √x ) / ( √x + h + √x ) = h * (√x + h + √x ) / h = √x + h + √x

c ) m³n√x / ⁵√2⁴m⁷n⁶x = m³n√x / mn⁵√2⁴m²nx = m²√x / ⁵√2⁴m²nx * ⁵√2m³n⁴x⁴ / ⁵√2m³n⁴x⁴ = m²√x * ⁵√2m³n⁴x⁴ / 2mnx = m * √x * ⁵√2m³n⁴x⁴ / 2nx

d) √m + 1 / ( 1 - √m + 1 ) * ( 1 + √m + 1 ) / ( 1 + √m + 1 ) = ( √m + 1 + m + 1 ) / ( 1 - (m + 1 )) = (√m + 1 + m + 1 ) / - m = - ( √m + 1 + m + 1 ) / m .

E) 3ab² / √ab⁵ = 3ab² / b²√ab = 3a / √ab * √ab / √ab = 3a√ab / ab = 3√ab / b f) x / (√x² + 1 - x ) * ( √x² + 1 + x ) / ( √x² + 1 + x ) = x * ( √x² + 1 + x ) g) √1 + x / √1 - x * √1 - x / √1 - x = √1 - x² / (1 - x ) h) 2 / ( √(2 + √2) - √2 ) * ( √( 2 + √2) + √2 ) / ( √( 2 + √2) + √2 ) = 2 * ( √(2 + √2) + √2 ) / √2 * √2 / √2 = √2 * (√( 2 + √2) + √2 )

i) ( 3 - √a) / ( √a - 2 ) * ( √a + 2 ) / (√a + 2 ) = ( 3√a + 6 - (√a)² - 2√a ) / (a - 4) = ( √a + 6 - a) / (a - 4 )

j) ( √x + 1 + √x - 1 ) / ( √x - 1 + √x + 1 ) * ( √x - 1 - √x + 1 ) / (√x - 1 - √x + 1 ) = ( √(x² - 1) - (√x + 1 )² + ( √x - 1 )² - √(x² - 1) / (x - 1) - (x + 1 ) = - 2 / - 2 = 1Explicación paso a paso :