$\frac{\sqrt\[3]{6859}}{\sqrt\[4]{256}x\frac{2}{57} x 168 = $
Find the value of the following / निम्नलिखित का मान ज्ञात कीजिए।
$\frac{{\sqrt[3]{6859}}}{{\sqrt[4]{256}}}x\frac{2}{57} x 168 =$ ?
Detailed Solution & Logic
28
Step 1: Evaluate roots
$\sqrt[3]{6859} = 19$ (since $19^3 = 6859$)
$\sqrt[4]{256} = 4$ (since $4^4 = 256$)
So expression becomes:
$\frac{19}{4} \times \frac{2}{57} \times 168$
Step 2: Simplify multiplication
First combine numbers:
$\frac{19 \times 2 \times 168}{4 \times 57}$
Numerator:
$19 \times 2 = 38$
$38 \times 168 = 6384$
Denominator:
$4 \times 57 = 228$
So:
$\frac{6384}{228}$
Step 3: Simplify fraction
Divide:
$6384 ÷ 228 = 28$
Final Answer: 28
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