Question

rationalize the denominator 5/√7​

Answer 1

Answer:

hi your right answer is here

Step-by-step explanation:

we know that rationalize factor for 1/√a is √a

we multiple denominator and divide

like this

5/√7 so

5/√7×√7/√7

5√7 /√7

we know that underoot underroot cancel

so answer is

5√7 /7

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Answer 2

Step-by-step explanation:

Your Question with Answer ( Step By Step ) :

\begin{gathered}\frac{5}{ \sqrt{7} - \sqrt{2} } \\ = \frac{5}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{ {( \sqrt{7} )}^{2} - {( \sqrt{2}) }^{2} } \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{7 - 2} \\ = \frac{(5) \times ( \sqrt{7} + \sqrt{2}) }{(5)} \\ = \sqrt{7} + \sqrt{2}\end{gathered}

7 − 25= 7−25 × 7 + 2 7 + 2=( 7 ) 2−( 2 ) 2(5)×( 7 + 2 )= 7−2(5)×(7+2 )= (5)(5)×(7+2 )= 7 + 2