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
Classify the following numbers as rational or irrational:
`2-sqrt5`
Rationalise the denominator of the following:
`1/sqrt7`
Simplify the following expression:
`(sqrt5 - sqrt2)(sqrt5 + sqrt2)`
Rationalise the denominator of the following:
`3/(2sqrt5)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
Simplify:
`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
Find the value of `6/(sqrt5 - sqrt3)` it being given that `sqrt3 = 1.732` and `sqrt5 = 2.236`
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
