Question

find the square root of the following number by frime factorization method.​

Answer 1

Answer:Resolving 484 as the product of primes, we get

484 = 2 × 2 × 11 × 11

√484 = √(2 × 2 × 11 × 11)

= 2 × 11

i tihink it look like this

Answer 2

Step-by-step explanation:

Where are the numbers ??

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For example , if you have to find square root of » » » 3249 .

So , Here is the solution with steps :-

STEP 1 : Resolving into prime factors and forming pairs of like factors .

$\sqrt3249 = 3 \times 3 \times 19 \times 19$

STEP 2 : From each pair pick out one prime factor.

1 st pair & 2 nd Pair

( 3 × 3 ) & ( 19 × 19 )

Pick out 3. & Pick out 19

STEP 3 : Multiply the factors so picked :- 3 × 19 = 57 .

The product is the square root of the given number .

$\sqrt{3249 = 3 \times 19 = 57}$

Alternatively , 3249 = 3² × 19² .

By this way u can do all the question .

Hope it Helps ..... !!!!

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