Advertisements
Advertisements
Question
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
Advertisements
Solution
`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
RELATED QUESTIONS
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.
1620
Write true (T) or false (F) for the following statement.
There are fourteen square number upto 200.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the square root the following by prime factorization.
529
Find the square root the following by prime factorization.
8281
Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.
A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Find the square root of 6400.
Examine if the following is a perfect square
190
