Math, asked by abhaykumarsingh30, 9 months ago

Q29. Simplify: root 45+ root 80 -3 root 20​

Answers

Answered by raushan6198
76

Step-by-step explanation:

 \sqrt{45}  +  \sqrt{80}  - 3 \sqrt{20}  \\  =  \sqrt{3 \times 3 \times 5}  +  \sqrt{2 \times 2 \times 2 \times 2 \times 5}  - 3 \sqrt{2 \times 2 \times 5}  \\  = 3 \sqrt{5}  + 2 \times 2 \sqrt{5}  - 3 \times 2 \sqrt{5}  \\  = 3 \sqrt{5}   \:  + 4 \sqrt{5}  - 6 \sqrt{5}  \\  =  \sqrt{5} (3 + 4 - 6) \\  =  \sqrt{5}  \times (7 - 6) \\  =  \sqrt{5}  \times 1 \\  =  \sqrt{5}  \:  \: ans.

Answered by farhatsande
38

Answer:

√5

Step-by-step explanation:

√45 + √80 + 3√20

= 3√5 + 4√5 - 3 × 2√5

= 7√5 - 6√5

= 1√5

= √5

Similar questions