Rewrite the expression in equivalent simpler form
square root 8/9
sqrt8/sqrt9=sqrt8/3
what if it's under the same square root.. can we still square root it separately ?
Yes.
To rewrite the expression √(8/9) in an equivalent simpler form, we can simplify the fraction first, and then find the square root.
Step 1: Simplify the fraction 8/9:
The greatest common divisor (GCD or GCF) of 8 and 9 is 1. Since there is no common factor other than 1, the fraction 8/9 is already simplified.
Step 2: Find the square root:
The square root of 8 is √8, and the square root of 9 is √9.
The exact value of √8 can be simplified as follows:
Since 8 can be expressed as 4 * 2, we can simplify √8 as √(4 * 2).
√(4 * 2) = √4 * √2.
The square root of 4 is 2, so we have 2√2.
Therefore, the expression √(8/9) can be rewritten as (2√2)/√9.
Note: Further simplification depends on whether you need the answer in exact or decimal form. If you need a decimal approximation, you can substitute the values of √2 and √9 into the expression.