Math, asked by Preetiwari214, 4 months ago

If cube root of (x/216) + 1/4 = 3/8 , then x is (The Question is the form of fractions)
(a) 3/4
(b) 27/64

Answers

Answered by xInvincible
4

Option B : 27/64

Step-by-step explanation:

 =  >  \sqrt[3]{ \frac{x}{216} }  +  \frac{1}{4}  =  \frac{3}{8}  \\  =  >  \frac{ \sqrt[3]{x} }{6}  +  \frac{1}{4}  =  \frac{3}{8}  \\  =  >  \frac{4 \sqrt[3]{x}  + 6}{24}  =  \frac{3}{8}  \\  =  > 4 \sqrt[3]{x}  + 6 =  \frac{3 \times 24}{8}  \\  =  > 4  \sqrt[3]{x}  + 6 = 9 \\  =  >  4\sqrt[3]{x}  = 9 - 6 \\  =  > 4 \sqrt[3]{x}  = 3 \\  =  >  \sqrt[3]{x}  =  \frac{3}{4}  \\  =  > x = ( \frac{3}{4} {)}^{3}  \\  =  > x =  \frac{27}{64}

Answered by thrivanran
0

Answer:

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