Question

Simplify (5√3 − 2√5) the whole square

Answer 1

Answer:

95 - 20$\sqrt{15}$

Step-by-step explanation:

(5$\sqrt{3}$ - 2$\sqrt{5}$ )²

= (5$\sqrt{3}$ - 2$\sqrt{5}$ )(5$\sqrt{3}$ - 2$\sqrt{5}$ )

each term in the second factor is multiplied by each term in the first factor, that is

5$\sqrt{3}$ (5$\sqrt{3}$ - 2$\sqrt{5}$ ) - 2$\sqrt{5}$ (5$\sqrt{3}$ - 2$\sqrt{5}$ ) ← distribute parenthesis

= 75 - 10$\sqrt{15}$ - 10$\sqrt{15}$ + 20 ← collect like terms

= 95 - 20$\sqrt{15}$

Answer 2

Answer:

95 - 20√15

Step-by-step explanation:

I assume the expression is (5√3 − 2√5)^2 (?).

(5√3 − 2√5)*(5√3 − 2√5)

25√3^2 - 20√15 + 4√5^2

25*3 - 20√15 +4*5

75 - 20√15 +20

95 - 20√15