Advertisements
Advertisements
प्रश्न
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
Advertisements
उत्तर
`root(3)(1906624) xx sqrt(x)` = 3100
`root(3)(2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 31 xx 31 xx 31) xx sqrt(x)` = 3100
`root(3)(2^3 xx 2^3 xx 31^3) xx sqrt(x)` = 3100
`2 xx 2 xx 31 xx sqrt(x)` = 3100
`sqrt(x) = 3100/(2 xx 2 xx 31)`
= `3100/(2 xx 2 xx 31)`
`sqrt(x)` = 25
Squaring on both sides
`(sqrt(x))^2` = 252
x = 625
APPEARS IN
संबंधित प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
252
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2925
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
Find the square root the following by prime factorization.
1764
Find the square root the following by prime factorization.
7056
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Find the square roots of 121 and 169 by the method of repeated subtraction.
Write the prime factorization of the following number and hence find their square root.
9604
Find the square root by prime factorisation method
1156
1000 is a perfect square.
