Pregunta
Estimate the square root to the nearest tenth.
The square root is approximately
The square root is approximately
Ask by Bryant Reese. in the United States
Jan 30,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The square root of 1.52 is approximately 1.2.
Solución
Calculate or simplify the expression
.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Rewrite the expression:
- step2: Use the properties of radicals:
- step3: Simplify the expression:
The square root of 1.52 is approximately 1.2 when rounded to the nearest tenth.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To estimate
, we can start by identifying perfect squares near 1.52. We know that
and
. Since 1.52 lies between 1.44 and 1.69, the square root must lie between 1.2 and 1.3. A quick check shows that
, which is very close to 1.52. Thus, the square root is approximately
when rounded to the nearest tenth.
In terms of approximation, you can visually think of the number line where
is closer to
than to
. This method of checking nearby squares is a handy trick for quickly estimating square roots, especially when you’re trying to balance speed with accuracy.
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