Can someone help me?

QAmmunity.org

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

asked Jun 5, 2022 192k views

1 vote

Can someone help me?

Mathematics
high-school

Russell Uhl asked

by Russell Uhl

5.4k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

3 votes

B.
√(x) + √(x - 1) ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$(1)/( √(x) - √(x - 1) ) \\ \\= (1)/( √(x) - √(x - 1) ) * ( √(x) + √(x - 1) )/( √(x) + √(x - 1) ) \\ \\ = \frac{ √(x) + √(x - 1) }{ ({ √(x) })^(2) - { (√(x - 1) })^(2) } \\\\ [∵(a + b)(a - b) = {a}^(2) - {b}^(2) ] \\ \\= ( √(x) + √(x - 1) )/(x - (x - 1)) \\ \\= ( √(x) + √(x - 1) )/( x - x + 1) \\ \\= √(x) + √(x - 1)$

$\bold{ \green{ \star{ \orange{Mystique35}}}}⋆$