Pregunta
\( \sqrt{81 y^{6}} \) Assume that the variable \( y \) represents a positive real number.
Ask by Pritchard Ellis. in the United States
Jan 25,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The simplified form is \( 9y^{3} \).
Solución
Calculate or simplify the expression \( \sqrt{81y^6} \).
Simplify the expression by following steps:
- step0: Solution:
\(\sqrt{81y^{6}}\)
- step1: Transform the expression:
\(\sqrt{\left(9y^{3}\right)^{2}}\)
- step2: Simplify the root:
\(9y^{3}\)
The simplified form of \( \sqrt{81y^{6}} \) is \( 9y^{3} \).
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
To simplify \( \sqrt{81 y^{6}} \), break it down into its components. The square root of 81 is 9, since \( 9 \times 9 = 81 \). Next, for \( y^{6} \), taking the square root gives \( y^{3} \) because \( (y^{3})^2 = y^{6} \). Combining these results, you get \( \sqrt{81 y^{6}} = 9y^{3} \). Now you have a neat expression, \( 9y^{3} \), which is perfectly simplified!
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
