Question

If √7(√35-√7)=a+b√5,find the value of a and b

Answer 1

$\sqrt{7} ( \sqrt{35} - \sqrt{7} ) = a + b \sqrt{5}$

$\sqrt{7} \sqrt{35} - \sqrt{7} \sqrt{7} = a + b \sqrt{5}$

$\sqrt{245} - 7 = a + b \sqrt{5}$

$\sqrt{245} \: \: approximately \: equal \: to \: 15$

$15 - 7 = a + b \sqrt{5}$

$8 = a + b \sqrt{5}$

Answer 2

Answer:

√7(√35-√7)=a+b√5

=2.64*(5.91-2.64)= a+b*2.23

=2.64*2.20=a+b*2.23

=5.808=a+b*2.23

a+b=5.808/2.23

=2.60 =ans

hope it helps

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