Question

$7 \sqrt{2} + \sqrt{5} \\ - - - - - \\ 2 \sqrt{5} - 3 \sqrt{2}$
its 7√2 + √5
_______ = a+b√10
2√5 - 3√2
please answer me fast and correctly!!!!!!!!​

Answer 1

Answer:

a=26 and b=$\frac{17}{2}$

Step-by-step explanation:

Given,

$\frac{7\sqrt{2}+\sqrt{5} }{2\sqrt{5} - 3\sqrt{2} } =\frac{(7\sqrt{2}+\sqrt{5)}(2\sqrt{5} +3\sqrt{2}) }{(2\sqrt{5} - 3\sqrt{2})(2\sqrt{5} + 3\sqrt{2}) }\\\\=\frac{14\sqrt{10}+42+10+3\sqrt{10} }{(2\sqrt{5})^{2} - (3\sqrt{2})^{2}} \\\\=\frac{17\sqrt{10} +52}{20-18} =\frac{17\sqrt{10} +52}{2} \\\\=26+\frac{17}{2} \sqrt{10}$

compair with a+b√10

∴  a=26    and     b=$\frac{17}{2}$