Question

Simplify (2√5 + 3√7)^2. PLEASE SHOW WORK



HELP

Answer 1

First you want to find 2√5+3√7, which is ≈12.40938989. Then you would square that number and you would get ≈153.9929574 rounding to the nearest number you would get ≈154.

So the answer is ≈154.

Answer 2

(2√5 + 3√7)².
This binomial is of the form:

(a+b)² = a²+2ab+b²
if a =2√5 & b=3√7 then:
a² = (2√5)² = 4 x 5 = 20 & b² = (3√7)² = 9 x 7 = 63
& finally 2ab = 2x(2√5)x(3√7) = 12 √35
Answer 20+63+12√35 = 83 + √35