Question

Cube root of 5 23/64

Answer 1

Write in improper fraction:

$5\dfrac{23}{64} = \dfrac{343}{64}$

Write in exponent of 3:

$\sqrt[3]{\dfrac{343}{64} } = \sqrt[3]{\dfrac{7^3}{4^3} }$

Evaluate the exponents:

$\sqrt[3]{\dfrac{7^3}{4^3} } =\dfrac{7}{4}$

Answer 2

5 23/64 = ( 5 × 64 + 23 ) / 64





5 23/64 = 343/64








To find : Cube root of 343/64



³√343/64 = ³√ 7 × 7 × 7 / 4 × 4 × 4



³√343/64 = ³√7³/4³


³√343/64 = 7/4