Radical expressionsRules for simplifying radical expression. Discuss and give example
The radical numbers ar numbers written into the form of sqrt(a).
There are rules for simplifying.
sqrt(a*b) = sqrt(a)* sqrt(b)
sqrt(a/b) = sqrt(a)/sqrt(b)
sqrt15 = sqrt(3*5) = sqrt3 * sqrt5
sqrt(9/4) = sqrt9/sqrt4 = 3/2
sqrt(a+-b) does NOT equal sqrt(a) +- sqrt(b)
sqrt(16) = sqrt(8+8) = 4
However, sqrt8 + sqrt8 = 2sqrt2 + 2sqrt2 = 4sqrt2
Then sqrt(8+8) does not equal sqrt8 + sqrt8.
A radical expression is an expression containing a square root. here i have simplify radical expression which is mentioned below:
Evaluate the radical expression when a = 2 and b = 4.
Correct Answer: D
Step 1: [Substitute the values of a and b in the given radical expression.]
Step 2: [Find the positive square root.]
Step 3: [Multiply.]
Step 4: [Add.]
Step 5: = 6 [Simplify.]
One rule is to re-write 2 numbers, that are multiplied under the radical sign, under 2 different square root signs.
sqrt[(16)*(25)] = sqrt(16)*sqrt(25)
sqrt(400) = 4*5
20 = 20
Another rule states that 2 radical expressions are multiplied, we can re-write the product of radicands under the same radical sign.
sqrt(3)*sqrt(4) = sqrt[(3)*(4)]
sqrt(3)*sqrt(4) = sqrt12