the rationalising factor of 7 under root a^4 b^3 c^5
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the rationalising factor of 7 under root a^4 b^3 c^5
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Given : 7 under root a^4 b^3 c^5
[tex]\sqrt[7]{a^4b^3c^5}[/tex]
To Find : rationalizing factor
Solution:
rationalizing factor :
The factor of multiplication by which an irrational number is multiplied to convert it into rational number
If the product of two irrational numbers or surds is a rational number, then each surd is a rationalizing factor for each other.
rationalizing factor of [tex]\sqrt[7]{a^4b^3c^5}[/tex] = x
=> [tex]\sqrt[7]{a^4b^3c^5}[/tex] * x = abc
[tex]abc =\sqrt[7]{a^7b^7c^7}[/tex]
=> [tex]\sqrt[7]{a^4b^3c^5} \times x=\sqrt[7]{a^7b^7c^7}[/tex]
=>[tex]x= \dfrac{\sqrt[7]{a^7b^7c^7}}{\sqrt[7]{a^4b^3c^5}}[/tex]
[tex]x= \sqrt[7]{a^3b^4c^2}}[/tex]
Hence rationalizing factor is 7 under root a³ b⁴ c²
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Answer:
7 root a⁴ b³ c⁵
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