Question

write the conjugate of the surd 3 root 7 minus 2 root 5?

Answer 1

THE CONJUGATE OF THE GIVEN SURD IS
3√7+2√5

Answer 2

Answer:

$\green{3\sqrt{7} + 2\sqrt{5}}$

Step-by-step explanation:

$Conjugate \:of \:the \: surd \: 3\sqrt{7} - 2\sqrt{5} \:is \\3\sqrt{7} + 2\sqrt{5}$

$(3\sqrt{7}-2\sqrt{5})(3\sqrt{7}+2\sqrt{5})\\= (3\sqrt{7})^{2} - (2\sqrt{5})^{2}\\=9\times 7 - 4\times 5\\= 63 - 20 \\=43\: (Rational \: number)$

Therefore.,

$\red{Conjugate } \green {=3\sqrt{7}+2\sqrt{5}}$

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