how do you write 225 1/2 using radical notation?
IF it is 225 to the power of 1/2 then that is the SQUARE ROOT of 225.
To write the number 225 1/2 using radical notation, we need to express it as a mixed radical. Here's how you can do it:
Step 1: Simplify the whole number part:
225 can be expressed as the product of a perfect square (15^2) and another factor (1):
225 = 15^2 * 1
Step 2: Express the fractional part as a radical:
To convert 1/2 into radical notation, we can write it as the square root of 1 divided by the square root of 2:
1/2 = √1 / √2
Step 3: Combine the whole and fractional parts:
Now we can combine both parts using the multiplication property of radicals:
225 1/2 = 15^2 * 1 * (1/2) = 15^2 * (√1 / √2)
Step 4: Simplify the expression:
Finally, simplify the expression by multiplying the whole numbers and combining the radicals:
225 1/2 = 15^2 * (√1 / √2) = 225 * (√1 / √2) = 225√1 / √2 = 225√1 / (√2/1) = 225√1 * (√2/1) = 225√2
Therefore, the number 225 1/2 can be written as 225√2 in radical notation.