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Simplify 4 root 3 minus 3 rooted 12 + 2 root 75
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write the rationalising factor of 1/3 - √11
if x is equal to 7 + 4 root 3 then find the value of x + 1 by X
if x is equal to root 2 - 1 then find the value of x square + 1 by x square
simplify 32 by 243 ki power 1/5
simplify to 10 by 27 power 2/3?
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Simplify 4 root 3 minus 3 rooted 12 + 2 root 75 next question write th...
Simplifying Expressions:
- 4√3 - 3√12 + 2√75
- Simplify each root:
- 4√3 - 3√(4*3) + 2√(25*3)
- 4√3 - 6√3 + 10√3
- Combine like terms:
- (4 - 6 + 10)√3
- 8√3

Rationalizing Factor:
- Rationalizing factor of 1/3 - √11
- Multiply by the conjugate of the denominator:
- (1/3 - √11)(3 + √11)/(3 + √11)
- (3 + √11 - 3√11 - 11)/(3 + √11)
- (3 - 11) + (√11 - 3√11)/(3 + √11)
- -8 - 2√11/(3 + √11)

Finding Value of x:
- If x = 7 + 4√3
- x + 1/x
- (7 + 4√3 + 1)/(7 + 4√3)
- (8 + 4√3)/(7 + 4√3)

Finding Value of x^2:
- If x = √2 - 1
- x^2 + 1/x^2
- ((√2 - 1)^2 + 1)/((√2 - 1)^2)
- (2 - 2√2 + 1 + 1)/(2 - 2√2 + 1)

Simplifying Powers:
- 32^(1/5)
- (2^5)^(1/5)
- 2
- 10^(2/3)
- (10^(1/3))^2
- 2^2
- 4/27
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Simplify 4 root 3 minus 3 rooted 12 + 2 root 75 next question write the rationalising factor of 1/3 - √11 if x is equal to 7 + 4 root 3 then find the value of x + 1 by X if x is equal to root 2 - 1 then find the value of x square + 1 by x square simplify 32 by 243 ki power 1/5 simplify to 10 by 27 power 2/3?
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Simplify 4 root 3 minus 3 rooted 12 + 2 root 75 next question write the rationalising factor of 1/3 - √11 if x is equal to 7 + 4 root 3 then find the value of x + 1 by X if x is equal to root 2 - 1 then find the value of x square + 1 by x square simplify 32 by 243 ki power 1/5 simplify to 10 by 27 power 2/3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify 4 root 3 minus 3 rooted 12 + 2 root 75 next question write the rationalising factor of 1/3 - √11 if x is equal to 7 + 4 root 3 then find the value of x + 1 by X if x is equal to root 2 - 1 then find the value of x square + 1 by x square simplify 32 by 243 ki power 1/5 simplify to 10 by 27 power 2/3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 4 root 3 minus 3 rooted 12 + 2 root 75 next question write the rationalising factor of 1/3 - √11 if x is equal to 7 + 4 root 3 then find the value of x + 1 by X if x is equal to root 2 - 1 then find the value of x square + 1 by x square simplify 32 by 243 ki power 1/5 simplify to 10 by 27 power 2/3?.
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