Question

Simplify the Equation Below, show steps and teach me how to do it. Thanks :)

Answer 1

\[\sqrt{15}(3+\sqrt{5})\]

Answer 2

Alright, you ready?

Answer 3

yes mr. teacher

Answer 4

Mentor/Tutor =0)

Answer 5

lol ok mr. M

Answer 6

Future professor.

Answer 7

Alrighty. Do you know how to use the distributive property?

Answer 8

yes

Answer 9

Ok well I cannot get it to copy and paste on here. Weird.

Ok let's start by distributing using F.O.I.L.
sqrt(15) X 3 = 3sqrt(15)
+
sqrt(15) X sqrt(5) = sqrt(75)
So we have: 3sqrt(5) + sqrt(75)

With me so far?

Answer 10

\(\bf \sqrt{15}(3+\sqrt{5})\implies \sqrt{15}\cdot 3+\sqrt{15}\cdot \sqrt{5}\implies 3\sqrt{15}+\sqrt{15\cdot 5}
\\ \quad \\
3\sqrt{15}+\sqrt{75}\quad recall\to {\color{brown}{ 75\to 5\cdot 5\cdot 3\to 5^2\cdot 3}}\quad thus
\\ \quad \\
3\sqrt{15}+\sqrt{75}\implies 3\sqrt{15}+\sqrt{5^2\cdot 3}\implies 3\sqrt{15}+\large \sqrt[{\color{blue}{ 2}}]{5^{\color{blue}{ 2}}\cdot 3}
\\ \quad \\
3\sqrt{15}+5\sqrt{3}\)

Answer 11

Im with you Professor Cosmic

Answer 12

Actually refer to @jdoe0001's explanation as it is much more clear and precise!

Answer 13

Let me know if you have any questions about how he came to 3sqrt(15) + 5sqrt(3)