What are the answers to these if no decimals are allowed in the answers?
1. √3 (5+√3)
2. 2√5(√6+2)
3. -3√3(2+√6)
4. √3(-5√10+√6)
We are just using the distributive property on these.
1. √3 (5+√3) = √3*5 + √3 *√3 = 5*√3 + 3
2. 2√5(√6+2) = 2√5 * √6 + 2√5 * 2 = 2√30 + 4√5
3. -3√3(2+√6) -3√3 * 2 + -3√3 * √6 = -6√6 + -3√18 = -6√6 + -3√(9*2) = -6√6 + -3*3√2 =
-6√6 + -9√2
4. √3(-5√10+√6) = -5*√30 + √3 *√6 = -5√30 + √18 = -5√30 + √(9*2) = -5√30 + 3√2
We are just using the distributive property on these.
1. √3 (5+√3) = √3*5 + √3 *√3 = 5*√3 + 3
2. 2√5(√6+2) = 2√5 * √6 + 2√5 * 2 = 2√30 + 4√5
3. -3√3(2+√6) -3√3 * 2 + -3√3 * √6 = -6√6 + -3√18 = -6√6 + -3√(9*2) = -6√6 + -3*3√2 =
-6√6 + -9√2
4. √3(-5√10+√6) = -5*√30 + √3 *√6 = -5√30 + √18 = -5√30 + √(9*2) = -5√30 + 3√2