Answer:
83
Step-by-step explanation:
(2((sqrt)(5))+3((sqrt)(7)))^2
is the same as every individual term inside to the power of 2
(2^2 x (root 5 )^2 + 3^2 x (root 7)^2)
any root squared will become the number inside the root by itself, i.e sqrt of 8^2 will become 8
((4x5) + (9x7))
= 20+63
=83
Answer:
83 + 12[tex]\sqrt{35}[/tex]
Step-by-step explanation:
Using the rules of radicals
• [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
• [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
(2[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{7}[/tex])²
= (2[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{7}[/tex])(2[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{7}[/tex])
Expand factors using FOIL
= (2[tex]\sqrt{5}[/tex])² + 6[tex]\sqrt{35}[/tex] + 6[tex]\sqrt{35}[/tex] + (3[tex]\sqrt{7}[/tex])²
=20 + 12[tex]\sqrt{35}[/tex] + 63
= 83 + 12[tex]\sqrt{35}[/tex]
