Love Mullins
01/23/2023 · Primary School
\( \sqrt { \frac { 49 a ^ { 6 } } { d ^ { 6 } } } \operatorname { npn } a = 3 n d = 2 \)
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Step-by-step Solution
Для решения этой задачи, мы должны подставить значения \( a = 3 \) и \( d = 2 \) в выражение \( \sqrt { \frac { 49 a ^ { 6 } } { d ^ { 6 } } } \).
Подставляя значения, получаем:
\( \sqrt { \frac { 49 \times 3^6 } { 2^6 } } \)
Теперь вычислим это выражение.
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{\frac{49\times 3^{6}}{2^{6}}}\)
- step1: Multiply the terms:
\(\sqrt{\frac{35721}{2^{6}}}\)
- step2: Use the properties of radicals:
\(\frac{\sqrt{35721}}{\sqrt{2^{6}}}\)
- step3: Simplify the expression:
\(\frac{189}{2^{3}}\)
- step4: Evaluate the power:
\(\frac{189}{8}\)
Результат вычисления выражения \( \sqrt { \frac { 49 a ^ { 6 } } { d ^ { 6 } } } \) при \( a = 3 \) и \( d = 2 \) равен \( \frac{189}{8} \) или \( 23\frac{5}{8} \) или \( 23.625 \).
Quick Answer
Результат выражения \( \sqrt { \frac { 49 a ^ { 6 } } { d ^ { 6 } } } \) при \( a = 3 \) и \( d = 2 \) равен \( \frac{189}{8} \) или \( 23.625 \).
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