What is rationalize (2sqrt(5)+3sqrt(7))^2 ?

The solution to rationalize (2sqrt(5)+3sqrt(7))^2 is 83+12sqrt(35)

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

rationalize

(25 + 37)^{2}

83 + 1235

Decimal Notation

153.99295 \dots

Solution steps

(25 + 37)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 25, b = 37

= (25)^{2} + 2 \cdot 25 \cdot 37 + (37)^{2}

Simplify

(25)^{2} + 2 \cdot 25 \cdot 37 + (37)^{2} : 83 + 1235

= 83 + 1235

\frac{i ^{10} + i ^{14} - 2 i ^{16}}{i ^{8} + i ^{10}}

lo g_{1.07} (2)

4 t^{2} + 4 t + 1

(0.5)^{- 1}

π \cdot 1

What is rationalize (2sqrt(5)+3sqrt(7))^2 ?
The solution to rationalize (2sqrt(5)+3sqrt(7))^2 is 83+12sqrt(35)