Question

answer fast and step by step explaination please.......​

Answer 1

$1) \: \: 5 \sqrt{2} + 3 \sqrt{2} = \sqrt{2} (5 + 3) \\ = \sqrt{2}(8) \\ = 8 \sqrt{2}$

$2) \: \: 5 \sqrt{2} + 5 \sqrt{2} = \sqrt{2} (5 + 5) \\ = \sqrt{2} (10) \\ = 10 \sqrt{2}$

$3) \: \: 5 \sqrt{2} + 10 \sqrt{2} = \sqrt{2} (5 + 10) \\ = \sqrt{2} (15) \\ = 15 \sqrt{2}$

$4) \: \: ( - 3 \sqrt{2} ) + 3 \sqrt{2} = \sqrt{2} ( - 3 + 3) \\ = \sqrt{2} (0) \\ = 0$

$5) \: \: ( - 3 \sqrt{2} ) + 5 \sqrt{2} = \sqrt{2} ( - 3 + 5) \\ = \sqrt{2} ( 2) \\ = 2 \sqrt{2}$

$6) \: \: ( - 3 \sqrt{2} ) + 10 \sqrt{2} = \sqrt{2} ( - 3 + 10) \\ = \sqrt{2} (7) \\ = 7 \sqrt{2}$

$7) \: \: 7 \sqrt{2} + 3 \sqrt{2} = \sqrt{2}(7 + 3) \\ = \sqrt{2} (10) \\ = 10 \sqrt{2}$

$8) \: \: 7 \sqrt{2} + 5 \sqrt{2} = \sqrt{2} (7 + 5) \\ = \sqrt{2} (12) \\ = 12 \sqrt{2}$

$9) \: \: 7 \sqrt{2} + 10 \sqrt{2} = \sqrt{2} (7 + 10) \\ = \sqrt{2} (17) \\ = 17 \sqrt{2}$

Answer 2

$1) \: \: 5 \sqrt{2} + 3 \sqrt{2} = \sqrt{2} (5 + 3) \\ = \sqrt{2}(8) \\ = 8 \sqrt{2}$

$2) \: \: 5 \sqrt{2} + 5 \sqrt{2} = \sqrt{2} (5 + 5) \\ = \sqrt{2} (10) \\ = 10 \sqrt{2}$

$3) \: \: 5 \sqrt{2} + 10 \sqrt{2} = \sqrt{2} (5 + 10) \\ = \sqrt{2} (15) \\ = 15 \sqrt{2}$

$4) \: \: ( - 3 \sqrt{2} ) + 3 \sqrt{2} = \sqrt{2} ( - 3 + 3) \\ = \sqrt{2} (0) \\ = 0$

$5) \: \: ( - 3 \sqrt{2} ) + 5 \sqrt{2} = \sqrt{2} ( - 3 + 5) \\ = \sqrt{2} ( 2) \\ = 2 \sqrt{2}$

$6) \: \: ( - 3 \sqrt{2} ) + 10 \sqrt{2} = \sqrt{2} ( - 3 + 10) \\ = \sqrt{2} (7) \\ = 7 \sqrt{2}$

$7) \: \: 7 \sqrt{2} + 3 \sqrt{2} = \sqrt{2}(7 + 3) \\ = \sqrt{2} (10) \\ = 10 \sqrt{2}$

$8) \: \: 7 \sqrt{2} + 5 \sqrt{2} = \sqrt{2} (7 + 5) \\ = \sqrt{2} (12) \\ = 12 \sqrt{2}$

$9) \: \: 7 \sqrt{2} + 10 \sqrt{2} = \sqrt{2} (7 + 10) \\ = \sqrt{2} (17) \\ = 17 \sqrt{2}$