In the page "square root practice problems", we are going to see some practice questions.

(1) Find square root of 324 by prime factorization

(2) Find square root of 625 by prime factorization

(3) Find square root of 4096 by prime factorization

(4) Find square root of 400 by prime factorization

(5) Find square root of 144 by prime factorization

(6) Find square root of 1024 by prime factorization

(7) Find square root of 256 by prime factorization

(8) Find square root of 2025 by prime factorization

(9) Find square root of 36 by prime factorization

(10) Find square root of 3136 by prime factorization

**Question 1 : **

Find square root of 324 by prime factorization

**Solution :**

Step 1 :

Split 324 into prime factors

**Step 2 :**

√324 = √2 x 2 x 3 x 3 x 3 x 3

**Step 3 :**

Inside the radical sign, if the same number is repeated twice, take one number out of the radical sign.

Hence, square root of 324 is 18.

Let us see the solution of the next question on "Square roots of perfect squares worksheet".

**Question 2 : **

Find square root of 625 by prime factorization

**Solution :**

Step 1 :

Split 625 into prime factors

**Step 2 :**

√625 = √5 x 5 x 5 x 5

**Step 3 :**

Inside the radical sign, if the same number is repeated twice, take one number out of the radical sign.

= 5 x 5

= 25

Hence, square root of 625 is 25.

Let us see the solution of the next question on "Square roots of perfect squares worksheet".

**Question 3 : **

Find square root of 4096 by prime factorization

**Solution :**

Step 1 :

Split 625 into prime factors

**Step 2 :**

√4096 = √2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Step 3 :**

Take one common number from the radical

= 2 x 2 x 2 x 2

= 64

Hence, square root of 4096 is 64.

**Question 4 : **

Find square root of 400 by prime factorization

**Solution :**

Step 1 :

Split 400 into prime factors

**Step 2 :**

√400 = √2 x 2 x 2 x 2 x 5 x 5

**Step 3 :**

Inside the radical sign, if the same number is repeated twice, take one number out of the radical sign.

= 2 x 2 x 5

= 20

Hence, square root of 400 is 20.

**Question 5 : **

Find square root of 144 by prime factorization

**Solution :**

Step 1 :

Split 144 into prime factors

**Step 2 :**

√144 = √2 x 2 x 2 x 2 x 3 x 3

**Step 3 :**

= 2 x 2 x 3

= 12

Hence, square root of 144 is 12.

**Question 6 : **

Find square root of 1024 by prime factorization

**Solution :**

Step 1 :

Split 1024 into prime factors

**Step 2 :**

√1024 = √2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Step 3 :**

= 2 x 2 x 2 x 2 x 2

= 32

Hence, square root of 1024 is 32.

**Question 7 : **

Find square root of 256 by prime factorization

**Solution :**

Step 1 :

Split 256 into prime factors

**Step 2 :**

√256 = √2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Step 3 :**

= 2 x 2 x 2 x 2

= 16

Hence, square root of 256 is 16.

**Question 8 : **

Find square root of 2025 by prime factorization

**Solution :**

Step 1 :

Split 2025 into prime factors

**Step 2 :**

√2025 = √5 x 5 x 3 x 3 x 3 x 3

**Step 3 :**

= 5 x 3 x 3

= 45

Hence, square root of 2025 is 45.

**Question 9 : **

Find square root of 36 by prime factorization

**Solution :**

Step 1 :

Split 36 into prime factors

**Step 2 :**

√36 = √2 x 2 x 3 x 3

**Step 3 :**

= 2 x 3

= 6

Hence, square root of 36 is 6.

**Question 10 : **

Find square root of 3136 by prime factorization

**Solution :**

Step 1 :

Split 3136 into prime factors

**Step 2 :**

√3136 = √2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

**Step 3 :**

= 2 x 2 x 2 x 7

= 56

Hence, square root of 3136 is 56. Square roots of perfect squares worksheet

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