A का क्या मान होगा, यदि \sqrt[3]{500} \times \sqrt[3]{-3456}=40 \times {A} सत्य है?

CTET 2 Math and Science Jan 2016 Paper(HM)

Question : 51 of 150

Marks: +1, -0

A का क्या मान होगा, यदि

√[3]{500} × √[3]{-3456}=40 × {A}

सत्य है?

Solution:

√^3{500}\× √^3{-3456} \;\; =40 × {\A}

⇒ \;\; √^3{125\ \x\ \4}× √^3{-216 \ \x\ \4\ \x\ \4} \;\; =40 {\A}

⇒ \;\; -5 × 6 × 4 \;\; =40 {\A}

⇒ \;\; {\A} \;\; =\;{-120}/{40}=-3 .

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