Advertisements
Advertisements
प्रश्न
The value of `sqrt(248 + sqrt(52 + sqrt(144)` is ______.
विकल्प
14
12
16
13
Advertisements
उत्तर
The value of `sqrt(248 + sqrt(52 + sqrt(144)` is 16.
Explanation:
144 = 2 × 2 × 2 × 2 × 3 × 3
= (2 × 2 × 3)2
= 122
∴ `sqrt(144) = 12`
∴ `sqrt(248 + sqrt(52 + sqrt(144))) = sqrt(248 + sqrt(52 + 12))`
= `sqrt(248 +sqrt( 64))` ...(i)
Also, 64 = 2 × 2 × 2 × 2 × 2 × 2
= (2 × 2 × 2)2
= 82
`\implies sqrt(64) = 8`
∴ From (i), we get
`sqrt(248 + sqrt(52 + sqrt(144))) = sqrt(248 + 8`
= `sqrt(256)` ...(ii)
256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= (2 × 2 × 2 × 2)2
= (16)2
`\implies sqrt(256) = 16`
∴ From (ii), we get
`sqrt(248 + sqrt(52 + sqrt(144))) = 16`
APPEARS IN
संबंधित प्रश्न
What could be the possible ‘one’s’ digit of the square root of the given number?
998001
Find the square root of:
\[21\frac{2797}{3364}\]
Find the square of 6.3
Evaluate `sqrt((14.4)/(22.5)`
Evaluate: `sqrt((0.5)^3 xx 6 xx 3^5)`
Find the square root of 5.2005 correct to two places of decimal.
Find the square root of 7.832 correct to: 2 significant digits.
Is it possible for the square of a number to end with 5 zeroes ? Give reason.
Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.
8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?
