Question

If x = 2+√3 find the value of (x+½)²(x-½)²​

Answer 1

Step-by-step explanation:

$(2 + \sqrt{3} + \frac{1}{2} ) {}^{2} (2 + \sqrt{3} - \frac{1}{2} ) {}^{2}$

${ \frac{4 + 2 \sqrt{3} + 1}{2} }^{2}$

$(5 + 2 \sqrt{3}) {}^{2} \div 4$

$25 + 2(2 \sqrt{3} )(5) + 12 \div 4 \times9 + 2(2 \sqrt{3} (3) + 12 \div 4$

$\frac{37 + 20 \sqrt{3} }{4} \times \frac{31 + 36 \sqrt{3} }{4}$

$37(31) + 37(36 \sqrt{3} ) + 31(20 \sqrt{3} + 20(36)(3) \div 16$

$1332 \sqrt{3 } + 620 \sqrt{3} + 2160 + 1147$

$3307 + 1952 \sqrt{3}$