Evaluate - 125-a6-125a6

125√(a^6 #160; ) √( 125a^6 ) #160; =125√( a^3× a^3 ) √( 5^3× a^3 × a^3 ) #160; =125a^2 5a^2 =120a^2 ...

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Standard XII

Mathematics

Iota

Evaluate : ...

Question

Evaluate : $125 \sqrt[3]{a^{6}} - \sqrt[3]{125 a^{6}}$

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Solution

$125 \sqrt[3]{a^{6}} - \sqrt[3]{125 a^{6}}$
$= 125 \sqrt[3]{a^{3} \times a^{3}} - \sqrt[3]{5^{3} \times a^{3} \times a^{3}}$
$= 125 a^{2} - 5 a^{2}$
$= 120 a^{2}$

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Evaluate : 1253√a6−3√125a6

1253√a6−3√125a6 =1253√a3×a3−3√53×a3×a3 =125a2−5a2=120a2

Evaluate : $125 \sqrt[3]{a^{6}} - \sqrt[3]{125 a^{6}}$

$125 \sqrt[3]{a^{6}} - \sqrt[3]{125 a^{6}}$
$= 125 \sqrt[3]{a^{3} \times a^{3}} - \sqrt[3]{5^{3} \times a^{3} \times a^{3}}$
$= 125 a^{2} - 5 a^{2}$
$= 120 a^{2}$