Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif23 - 1 = ? iT11a23 - 1+20Multiply numerator and denominator+20by 3 + 1.= 2(3 + 1)(3 - 1)(3 + 1)p= 2(3 + 1)2p+20Reduce to lowest terms.= 3 + 1
"3""+""1""1""+""3"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 + 1,the conjugate of the denominator. Then simplify.
1,3(2,17):pn(3<=1)
2(3e1-)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif23 + 1 = ? iT11a23 + 1+20Multiply numerator and denominator+20by 3 - 1.= 2(3 - 1)(3 + 1)(3 - 1)p= 2(3 - 1)2p+20Reduce to lowest terms.= 3 - 1
"3""-""1""-""1""+""3"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 - 1,the conjugate of the denominator. Then simplify.
1,3(2,7):p2(2,5)n(3<=1)
4(1e3-2*)5(1e3-)n(5p<2)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif41 - 3 = ? iT11a41 - 3+20Multiply numerator and denominator+20by 1 + 3.= 4(1 + 3)(1 - 3)(1 + 3)p= 2(5)(1 + 3)5p+20Reduce to lowest terms.= 2(1 + 3) = 21 + 23
2"1""+"2"3"2"3""+"2"1"2"(""1""+""3"")"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 1 + 3,the conjugate of the denominator. Then simplify.
3(2,17):p
2(3e1-)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif23 - 1 = ? iT11a23 - 1+20Multiply numerator and denominator+20by 3 + 1.= 2(3 + 1)(3 - 1)(3 + 1)p= 2(3 + 1)2p+20Reduce to lowest terms.= 3 + 1
"3""+""1""1""+""3"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 + 1,the conjugate of the denominator. Then simplify.
1(2,7)
2(1e1*)3(2e1+)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif33 + 1 = ? iT11a33 + 1+20Multiply numerator and denominator+20by 3 - 1.= 3(3 - 1)(3 + 1)(3 - 1)p= 3(3 - 1)1p+20Simplify.= 3 - 13
3"-"1"3""3""(""3""-"1")"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 - 1,the conjugate of the denominator. Then simplify.
1,3(2,17):pn(3<=1)
2(3e1-)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif23 + 1 = ? iT11a23 + 1+20Multiply numerator and denominator+20by 3 - 1.= 2(3 - 1)(3 + 1)(3 - 1)p= 2(3 - 1)2p+20Reduce to lowest terms.= 3 - 1
"3""-""1""-""1""+""3"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 - 1,the conjugate of the denominator. Then simplify.
1,3(2,7):p2(2,5)n(3<=1)
4(1e3-2*)5(1e3-)n(5p<2)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif41 - 3 = ? iT11a41 - 3+20Multiply numerator and denominator+20by 1 + 3.= 4(1 + 3)(1 - 3)(1 + 3)p= 2(5)(1 + 3)5p+20Reduce to lowest terms.= 2(1 + 3) = 21 + 23
2"1""+"2"3"2"3""+"2"1"2"(""1""+""3"")"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 1 + 3,the conjugate of the denominator. Then simplify.
1(2,7)
2(1e1*)3(2e1+)
Rationalize the denominator. #if(0=0)Use Ctrl-S to begin a radical and right arrow to end it.#elseUse a \ to begin a radical and a ] to end it.#endif33 + 1 = ? iT11a33 + 1+20Multiply numerator and denominator+20by 3 - 1.= 3(3 - 1)(3 + 1)(3 - 1)p= 3(3 - 1)1p+20Simplify.= 3 - 13
3"-"1"3""3""(""3""-"1")"_No, that's incorrect. Try again.HINT: Multiply numerator and denominator by 3 - 1,the conjugate of the denominator. Then simplify.