Question

Find the value of [(125)2/3 +(343)1/3 ×(64)1/2]1/4

Answer 1

Explanation:

[250/3+(343/3)x32]1/4

=[250/3+(343x32)/3]1/4

=[250/3+10976/3]1/4

=[(250+10976)/3]1/4

=[11226/3]1/4

=11236/12

935.5 Ans

Answer 2

The value is 3.

Given: $[(125)^{\frac{2}{3} } +(343)^{\frac{1}{3} } \times 64^{\frac{1}{2} } ]^{\frac{1}{4} }$

To Find: solution of the given simplification

Solution:

Writing the given sum in root form,

[$(\sqrt[3]{125} })^{2}$ + $\sqrt[3]{343}$ × $\sqrt{64}$]$^{\frac{1}{4} }$

= [(5)² + 7 ×8]$^{\frac{1}{4} }$

= [25 + 7 × 8] $^{\frac{1}{4} }$

= [25 + 56]$^{\frac{1}{4} }$

= (81)$^{\frac{1}{4} }$

= $\sqrt[4]{81}$

= 3

Answer) The value is 3.

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