write an equivalent expression using radical notation
625 3/4
Help
4th root of (625 ) = 5
Becouse :
5 ^ 4 = 5 * 5 * 5 * 5 = 25 * 25 = 625
625 ^ ( 3 / 4 ) = [ 4th root of (625 ) ] ^ 3 = 5 ^ 3 =
5 * 5 * 5 = 125
625 ^ ( 3 / 4 ) = 125
so I would have abd answer of 4root symbol625^3
To write an equivalent expression using radical notation for the number 625 3/4, we first need to convert the mixed number into an improper fraction.
To do so, multiply the whole number (625) by the denominator of the fraction part (4) and add the numerator (3). Then, write this sum over the original denominator.
625 * 4 + 3 = 2500 + 3 = 2503
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4
Now that we have the improper fraction 2503/4, we can express it using radical notation by taking the square root of the numerator and denominator separately.
√(2503) / √(4)
Simplifying further, we can evaluate the square root of 2503 to get its approximate value, and the square root of 4 simplifies to 2.
So, the expression in radical notation is approximately:
√(2503) / 2