Question

(2√5+3√7)^2
please show steps to solving this

Answer 1

(2sqrt(5)+3sqrt(7))^(2)

(2sqrt(5)+3sqrt(7))(2sqrt(5)+3sqrt(7))

(4sqrt(5)^(2)+12sqrt(5)sqrt(7)+9sqrt(7)^(2))

4sqrt(5)^(2)+12sqrt(5)sqrt(7)+9sqrt(7)^(2)

20+12sqrt(5)sqrt(7)+9(7)

20+12sqrt(5)sqrt(7)+63

83+12sqrt(5)sqrt(7)
83+12sqrt35

Answer 2

use this formula...\[\LARGE (a+b)^2=a^2+2ab+b^2\]

we have...
\[\LARGE (2\sqrt5+3\sqrt7)^2\]

so...

\[\Large (2\sqrt5+3\sqrt7)^2=(2\sqrt5)^2+2\cdot(2\sqrt5\cdot3\sqrt7)+(3\sqrt7)^2\]

that becomes...

\[\Large 4\cdot 5+2\cdot2\cdot3\cdot\sqrt{5\cdot7}+9\cdot7\]

\[\LARGE 20+12\sqrt{35}+63\]

\[\LARGE 83+12\sqrt{35}\]

Answer 3

@HelloKalii if you don't understand it just let me know where you're stuck ;)