Which of the following is false ?

Options

A. `sqrt(5184)=72`
B. `sqrt(15625)=125`
C. `sqrt(1444)=38`
D. `sqrt(1296)=35`

Answer

To determine which of the given options is false, we will evaluate each option one by one by checking their square roots.

### Step-by-Step Solution:

1. **Evaluate the First Option:**
- The first option states that the square root of 72 can be expressed as \( 8 \times 9 \).
- We know that \( \sqrt{72} = \sqrt{8 \times 9} = \sqrt{8} \times \sqrt{9} = 2\sqrt{2} \times 3 = 6\sqrt{2} \).
- This option is correct.

2. **Evaluate the Second Option:**
- The second option states that the cube root of 125 is \( 5 \).
- We know that \( \sqrt[3]{125} = 5 \) since \( 5^3 = 125 \).
- This option is also correct.

3. **Evaluate the Third Option:**
- The third option states that \( \sqrt{38} \) can be expressed as \( 1 \times 4 \).
- We know that \( \sqrt{38} \) cannot be simplified to \( 1 \times 4 \) since \( \sqrt{38} \) is not a perfect square.
- This option is incorrect.

4. **Evaluate the Fourth Option:**
- The fourth option states that \( \sqrt{36} = 6 \).
- We know that \( \sqrt{36} = 6 \) since \( 6^2 = 36 \).
- This option is correct.

### Conclusion:
After evaluating all the options, we find that the third option is false.

### Final Answer:
The false statement is **Option 3**.

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