Question

*Write the prime factors of 144 while finding its square root?* 1️⃣ 12 x 12 2️⃣ 4 x 36 3️⃣ 3 x 3 x 2 x 2 x2 x 2 4️⃣ 3 x 3 x 4 x 4​

Answer 1

Answer:

Open the pic u won't be able to see it just like this.

Answer 2

Solution :-

finding the prime factors of 144 we get,

→ 144 = 2 * 2 * 2 * 2 * 3 * 3 { Required prime factors of 144 }

→ 144 = (2 * 2) * (2 * 2) * (3 * 3)

now, we know that, in order to find square root we must take one prime factor from pairs of two .

then,

→ √144 = 2 * 2 * 3 = 12 (Ans.)

or,

→ 144 = 2 * 2 * 2 * 2 * 3 * 3

→ 144 = 2² * 2² * 3²

→ 144 = (2 * 2 * 3)²

→ 144 = (12)²

→ √144 = √(12)²

using √(a)² = a ,

→ √144 = 12 (Ans.)

Hence, Option (3) is correct answer .

Learn more :-

find the L.C.M of 6 and 9

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