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:
\[23\frac{26}{121}\]
Find the square root of:
\[23\frac{26}{121}\]
Evaluate:
`sqrt(1 4/5 xx 14 21/44 xx 2 7/55)`
If `sqrt784` = 28, find the value of:
`sqrt(0.0784) + sqrt(0.000784)`
Find the square root of: 0.602 correct to two places of decimal
The square root of 1521 is 31.
What will be the number of unit squares on each side of a square graph paper if the total number of unit squares is 256?
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.
A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each row, then find the number of seats in each row
