{a^{1/3}} + {a^{ - 1/3}} નો સંમેય કારક અવયવ મ | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(d) Let$x = {a^{1/3}},y = {a^{ - 1/3}}$then $a = {x^3},{a^{ - 1}} = {y^3}$

${x^3} + {y^3} = (x + y)({x^2} - xy + {y^2})$

So, rationlising factor

Vedclass · Accepted Answer

${a^{2/3}} + {a^{ - 2/3}} - 1$

Vedclass · Answer

(d) Let$x = {a^{1/3}},y = {a^{ - 1/3}}$then $a = {x^3},{a^{ - 1}} = {y^3}$

${x^3} + {y^3} = (x + y)({x^2} - xy + {y^2})$

So, rationlising factor is $({x^2} - xy + {y^2})$. Put the value of $x$ and $y$.

Thus the required rationlising factor is ${a^{2/3}} + {a^{ - 2/3}} - 1$.

${a^{1/3}} + {a^{ - 1/3}}$ નો સંમેય કારક અવયવ મેળવો.

Similar Questions

$\sqrt {[12 - \sqrt {(68 + 48\sqrt 2 )} ]} = $

જો ${a^x} = bc,{b^y} = ca,\,{c^z} = ab,$ તો $xyz=$

સમીકરણ ${9^x} - {2^{x + {1 \over 2}}} = {2^{x + {3 \over 2}}} - {3^{2x - 1}}$ નો ઉકેલ મેળવો.

સમીકરણ $\sqrt {(x + 1)} - \sqrt {(x - 1)} = \sqrt {(4x - 1)} $, $x \in R$ ને .. . .

જો $x = 3 - \sqrt {5,} $ તો ${{\sqrt x } \over {\sqrt 2 + \sqrt {(3x - 2)} }} = $