Question

256/625 - Find the square root of it.

Answer 1

Heya user, Here is your Answer

$\sqrt{ \frac{256}{625} } = \sqrt{ \frac{16 \times 16}{25 \times 25} } \\ \sqrt{ \frac{256}{625} } = \frac{16}{25}$
Hope it will help you

Answer 2

Solution :

Resolving the numbers into product

of prime , we get

i )

2 | 256
______
2 | 128
______
2 | 64
______
2 | 32
______
2 | 16
______
2 | 8
______
2 | 4
______
*****2

256 = 2×2×2×2×2×2×2×2

√256

= √(2×2)(2×2)(2×2)(2×2)

= 2×2×2×2

= 16

ii )

5 | 625
______
5 | 125
______
5 | 25
______
**** 5

625 = 5×5×5×5

√625

= √(5×5)(5×5)

= 5 × 5

= 25

Now ,.

√( 256/625 )

= √(256)/√(625)

= 16/25

Therefore,

√(256/625) = 16/25

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