Math, asked by Kausikivarma5155, 9 months ago

2 root 180 - 7 root 20 + 10 root 45

Answers

Answered by soham1369
3

Answer:

here is the answer mate

Attachments:
Answered by akchaudhary84
1

Answer:

Your answer is 65 - 75 + 155

Step-by-step explanation:

2 \sqrt{180}  - 7 \sqrt{20}  + 10 \sqrt{45}  \\ with \: facorization \: we \: get \\ 2 \sqrt{(18 \times 10)}  - 7 \sqrt{(2 \times 10)}  + 10 \sqrt{(9 \times 5)}  \\ 2 \sqrt{(2 \times 3 \times 3)(2 \times 5)}  - 7 \sqrt{2 \times 2 \times 5)}  + 10 \sqrt{(3 \times 3 \times 5)}  \\ 2 \sqrt{(2 \times 2)(3 \times 3) \times 5}  - 7 \sqrt{(2 \times 2) \times 5}  + 10 \sqrt{(3 \times 3) \times 5}  \\ 2 \times 2 \times 3 \sqrt{5}  - 7 \times 2 \sqrt{5}  + 10 \times 3 \sqrt{5}  \\  = 12 \sqrt{5}  - 14 \sqrt{5}  + 30 \sqrt{5}  \\ (here \: 2 \: ia \: a \: common \: divisor) \\ so \: we \: get \: common \: factor \: 2 \\ 2 \: (6 \sqrt{5}  - 7 \sqrt{5}  + 15 \sqrt{5} )

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