Advertisements
Advertisements
प्रश्न
Simplify of the following:
`root(4)1250/root(4)2`
Advertisements
उत्तर
We know that `(root(n)a)/(root(n)b) = root(n)(a/b)`We will use this property to simplify the expression `root(4)(1250)/root(4)2`
`:. root(4)1250/root(4)(2) = root(4)625`
`= root(4)(5^4)`
`=(5)^1`
= 5
Hence the value of the given expression is 5
APPEARS IN
संबंधित प्रश्न
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
Simplify:
`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
Simplify
`1/(2 + sqrt3) + 2/(sqrt5 - sqrt3) + 1/(2 - sqrt5)`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
The rationalisation factor of \[\sqrt{3}\] is
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
Find the value of a and b in the following:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
Simplify:
`(1/27)^((-2)/3)`
