What will come in the place of the question mark ‘?’ in the following question? √2401 + 6 × 4 = ?2 – 32 × 9
19
Square Root Calculation
First, we need to find the square root of 2401. We are looking for a number which, when multiplied by itself, equals 2401.
Let's test some numbers:
- We know that $40^2 = 1600$ and $50^2 = 2500$. So the square root of 2401 must be between 40 and 50.
- Since 2401 ends in 1, the square root must end in either 1 or 9.
- Let's try 49: $49 \times 49 = 2401$.
So, the square root of 2401 is 49.
We can write this mathematically as:
$\sqrt{2401} = 49$
Multiplication Operations
Next, we perform the multiplication operations in the equation:
- Calculate $6 \times 4$: $6 \times 4 = 24$.
- Calculate $32 \times 9$: $32 \times 9 = 288$.
Equation Simplification
Now, let's substitute these values back into the original equation:
$\sqrt{2401} + 6 \times 4 = ?^2 – 32 \times 9$
Substituting the calculated values:
$49 + 24 = ?^2 – 288$
Simplify the left side of the equation:
$73 = ?^2 – 288$
Finding the Unknown Value
To find the value of $?^2$, we need to isolate it. We can do this by adding 288 to both sides of the equation:
$73 + 288 = ?^2$
Calculate the sum:
$361 = ?^2$
Finally, to find the value of '?', we take the square root of 361:
$? = \sqrt{361}$
We know that $19 \times 19 = 361$.
Therefore, $? = 19$.
Conclusion
The value that replaces the question mark ‘?’ in the equation is 19.
Similar Questions
What will come in the place of the question mark ‘?’ in the following question?
420 ÷ 28 × 288 ÷ 32 = ?
What will come in the place of the question mark ‘?’ in the following question?
(372 ÷ 4) × 5 + 40 – 53 = ?
What will come in the place of the question mark ‘?’ in the following question?
10 + ? × 6 ÷ 2 = 46
What will come in place of question mark (?) in the following equation?
(√25 × 12) ÷ 15 + √256 = ?
What will come in place of question mark (?) in the following equation?
(12 × 9) ÷ 27 + 162 = ?
What will come in the place of the question mark ‘?’ in the following question?
113 – 162 – 152 – 142 = ?
What will come in the place of the question mark ‘?’ in the following question?
√? + 40 ÷ 10 × 7 - 3 = 50
What will come in place of question mark (?) in the following equation?
125 + 60 × 2 – 23 × 10 = ?
What will come in the place of the question mark ‘?’ in the following question?
15 × 2 – 2 × 8 – 7 = ?
What will come in the place of the question mark ‘?’ in the following question?
(4575 – 1740 – 2250) = ? – 39 + √9025
Important Questions from Simplification
What will come in the place of the question mark ‘?’ in the following question?
(15 + 24) × 3 ÷ 13 + 18 – 5 = ?
What should come in place of the question mark '?' in the following question?
\n13 × 3 of 5 ÷ 26 = ? + 2.5What should come in place of the question mark '?' in the following question?
10% of 450 - (8 × 5) = ? × 5
What will come in the place of the question mark ‘?’ in the following question?
(66)2 - (34)2 + ?2 = (60)2
What will come in the place of the question mark ‘?’ in the following question?
3 × ? ÷ 9 = ∛729 × √121
