Question

operations on irrational numbers:
(1) √3+3√3 =
(2) √7+√7-2√7 =
(3) √7×3√7 =
(4) 2√2×5√3 =

hope you help me
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Answer 1

$(1) \sqrt{3} + 3 \sqrt{3} = 4 \sqrt{3} \\(2) \sqrt{7} + \sqrt{7} - 2 \sqrt{7} = 0 \\ (3) \sqrt{7} \times 3 \sqrt{7} = 21 \\ (4)2 \sqrt{2 } \times 5 \sqrt{3} = 10 \sqrt{6}$

I hope my answer will expectable

Answer 2

$\Large{\underline{\underline{\bf{Given \ Sums :-}}}}$

• $1. \: \: \sqrt{3 } + 3 \sqrt{3}$
• $2. \: \: \sqrt{7} + \sqrt{7} - 2 \sqrt{7}$
• $3. \: \: \sqrt{7} \times 3 \sqrt{7}$
• $4. \: \: 2 \sqrt{2 } \times 5 \sqrt{3}$

$\Large{\underline{\underline{\bf{Solution :-}}}}$

${1. \: \: \sqrt{3 } + 3 \sqrt{3} } \\ \\ { \implies{ \pink{\boxed{4 \sqrt{3}}}} } \\ \\ \\ {2. \: \: \sqrt{7} + \sqrt{7} - 2 \sqrt{7} } \\ \\ { \implies{\blue{ \boxed{0}}}} \\ \\ \\ {3. \: \: \sqrt{7} \times 3 \sqrt{7} } \\ \\ \\ { \implies{3 \sqrt{7 \times 7} }} \\ \\ { \implies{3 \sqrt{49} }} \\ \\ { \implies{3 \times 7}} \\ \\ { \implies{ \purple{\boxed{21}}}} \\ \\ \\ {4. \: \: 2 \sqrt{2 } \times 5 \sqrt{3} } \\ \\ { \implies \: 2 \times 5 \sqrt{2 \times 3} } \\ \\ { \implies{ \red{\boxed{ \: 10 \sqrt{6}}}}}$