Pregunta
Rationalise the deneminato \( \frac{1+2 \sqrt{2}}{\sqrt[1]{4}} \)
Ask by Alexander Brewer. in Zambia
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The rationalized form is \( \frac{1+2\sqrt{2}}{4} \).
Solución
Calculate or simplify the expression \( \frac{1+2 \sqrt{2}}{\sqrt[1]{4}} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1+2\sqrt{2}}{\sqrt[1]{4}}\)
- step1: Simplify the root:
\(\frac{1+2\sqrt{2}}{4}\)
The rationalized form of the denominator \( \frac{1+2 \sqrt{2}}{\sqrt[1]{4}} \) is \( \frac{1+2\sqrt{2}}{4} \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To rationalize the denominator of the expression \( \frac{1 + 2 \sqrt{2}}{\sqrt{4}} \), first, simplify the denominator, which is \( \sqrt{4} = 2 \). This leads to the expression \( \frac{1 + 2 \sqrt{2}}{2} \). Next, we can separate the numerator by dividing both terms: \[ \frac{1}{2} + \frac{2 \sqrt{2}}{2} = \frac{1}{2} + \sqrt{2}. \] So, the final simplified expression is: \[ \frac{1}{2} + \sqrt{2}. \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
