Find the square root of 64.
Evaluate: $\sqrt{121}$.
Find the value of $\sqrt{169}$.
What is the square root of 225?
Simplify: $\sqrt{256}$.
Find the square root of 361.
Evaluate: $\sqrt{484}$.
Find the value of $\sqrt{625}$.
Simplify: $\sqrt{900}$.
Find the square root of 2025.
Find the square root of 64.
Explanation: We are looking for a number that, when multiplied by itself, equals 64. Since $8 \times 8 = 64$, the square root is 8.
Evaluate: $\sqrt{121}$.
Explanation: The symbol $\sqrt{ \space }$ represents the principal square root. Since $11 \times 11 = 121$, the value is 11.
Find the value of $\sqrt{169}$.
Explanation: To solve this, you can test numbers ending in 3 or 7 (since $3^2=9$). Testing 13: $13 \times 13 = 169$. The value is 13.
What is the square root of 225?
Explanation: Numbers ending in 25 often have square roots ending in 5. Testing 15: $15 \times 15 = 225$. The square root is 15.
Simplify: $\sqrt{256}$.
Explanation: We know $15^2 = 225$ and $20^2 = 400$, so the answer is between 15 and 20. Since the last digit is 6, we test 16: $16 \times 16 = 256$. The simplified form is 16.
Find the square root of 361.
Explanation: This number is very close to 400 ($20^2$). Testing the number just below 20 that ends in 1 or 9: $19 \times 19 = 361$. The square root is 19.
Evaluate: $\sqrt{484}$.
Explanation: Since $20^2 = 400$ and the last digit is 4, we test 22: $22 \times 22 = 484$. The value is 22.
Find the value of $\sqrt{625}$.
Explanation: Any number ending in 625 is a multiple of 25. Testing 25: $25 \times 25 = 625$. The value is 25.
Simplify: $\sqrt{900}$.
Explanation: You can break this down into $\sqrt{9} \times \sqrt{100}$. This gives us $3 \times 10 = 30$. Therefore, $\sqrt{900} = 30$.
Find the square root of 2025.
Explanation: For numbers ending in 25, the square root ends in 5. To find the first digit, look at “20”—the largest square less than 20 is 16 ($\sqrt{16}=4$). Testing 45: $45 \times 45 = 2025$. The square root is 45.