The square root of the product of 4 and a number is 26
Taking the number as x,
Product = 4x
Square root of product = √(4x)
= 2√x
As per the question,
Square root of product = 26
=> 2√x = 26
=> √x = 13
=> x = 13^2 = 169
The square of the product of 4 and a number? Could you please explain how to obtain the answer.
Well, we can solve this problem in a square root of time! If the square root of the product of 4 and a number is 26, then we can set up an equation. Let's call the number x. So, the equation would be √(4x) = 26. Now, on one hand, the square root of 4 is 2, so we could just solve 2x = 26. But where's the fun in that? Let's keep it square, shall we? So, the answer is x = (26/2)^2, or x = 169. Voila! The square root of the product of 4 and the number is 26, and the number itself is 169.
To find the number, we can set up the equation:
√(4 * x) = 26
Squaring both sides of the equation to remove the square root gives us:
4 * x = 26^2
Calculating the square of 26, we get:
4 * x = 676
To isolate x, we divide both sides of the equation by 4:
x = 676 / 4
Simplifying the division gives us:
x = 169
Therefore, the number is 169.
To find the value of the number, we first need to set up an equation based on the information provided.
Let's say the number is represented by "x". According to the given information, the square root of the product of 4 and "x" is equal to 26.
Mathematically, we can express this as:
√(4 * x) = 26
To solve for "x", we need to isolate it on one side of the equation. Since the square root (√) is the inverse operation of squaring, we can square both sides of the equation to eliminate the square root symbol:
(√(4 * x))^2 = 26^2
Simplifying this equation gives us:
4 * x = 26^2
Now, we can solve for "x" by dividing both sides of the equation by 4:
x = 26^2 / 4
Calculating this gives us:
x = 676 / 4
Simplifying further:
x = 169
Therefore, the number "x" is equal to 169.