use the distributive property to multiply then if possible simplify the resulting expression
√3 (√3- √21)
to multiply, just multiply the radicands (terms inside the radical sign):
sqrt(3*3) - sqrt(3*21)
sqrt(9) - sqrt((3^2)*7)
3 - 3*sqrt(7)
hope this helps~ :)
To multiply using the distributive property, we need to distribute (√3) to both terms inside the parentheses: (√3) and (-√21).
First, let's distribute (√3) to (√3):
√3 * √3 = (√3)² = 3
Next, let's distribute (√3) to (-√21):
√3 * (-√21) = -√(3 * 21) = -√63 = -3√7
Now, we can simplify the resulting expression by combining the terms:
3 - 3√7
Therefore, the simplified expression is 3 - 3√7.