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Q3 Simplify the radical expression. √640 x^3 y^4
Q4 Simplify the radical expression. 4√2 + 6√2
Q5 Simplify the radical expression. 3√5 + 6√180
Q3 Simplify the radical expression. √640 x^3 y^4:
First, break down 640 into its prime factors:
640 = 2^7 * 5
Now, simplify the expression:
√640 x^3 y^4 = √(2^7 * 5) * x^3 * y^4
= 2^3√(2 * 5) * x^3 * y^4
= 8√10 * x^3 * y^4
Therefore, the simplified radical expression is 8√10x^3y^4.
Q4 Simplify the radical expression. 4√2 + 6√2:
Combine like terms:
4√2 + 6√2 = (4 + 6)√2
= 10√2
Therefore, the simplified radical expression is 10√2.
Q5 Simplify the radical expression. 3√5 + 6√180:
First, break down 180 into its prime factors:
180 = 2^2 * 3^2 * 5
Now, simplify the expression:
3√5 + 6√180 = 3√5 + 6√(2^2 * 3^2 * 5)
= 3√5 + 6(2√(3^2 * 5))
= 3√5 + 6(2 * 3√5)
= 3√5 + 36√5
= 39√5
Therefore, the simplified radical expression is 39√5.