Pregunta
Solve for \( w \), where \( w \) is a real number. \( \sqrt{w}=8 \) If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". \( w=\square \)
Ask by Bartlett Pope. in the United States
Feb 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( w=64 \)
Solución
Solve the equation \( \sqrt{w}=8 \).
Solve the equation by following steps:
- step0: Solve for \(w\):
\(\sqrt{w}=8\)
- step1: Find the domain:
\(\sqrt{w}=8,w\geq 0\)
- step2: Raise both sides to the \(2\)-th power\(:\)
\(\left(\sqrt{w}\right)^{2}=8^{2}\)
- step3: Evaluate the power:
\(w=64\)
- step4: Check if the solution is in the defined range:
\(w=64,w\geq 0\)
- step5: Find the intersection:
\(w=64\)
- step6: Check the solution:
\(w=64\)
The solution to the equation \( \sqrt{w}=8 \) is \( w=64 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Extra Insights
To solve for \( w \) in the equation \( \sqrt{w} = 8 \), we square both sides to eliminate the square root. Thus, we have: \[ w = 8^2 \] Calculating this gives: \[ w = 64 \] Since the square root function only yields non-negative results, there’s only one solution. So, the final answer is: \( w = 64 \)

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium