Math, asked by rajk22476, 8 months ago

the value of is(√5+√2)²is​

Answers

Answered by TheWonderWall
11

Answer:

 {( \sqrt{5} +  \sqrt{2}  )}^{2}  \\  \\  = ( \sqrt{5} ) ^{2}  - 2 \times  \sqrt{5}  \times  \sqrt{2}  + ( { \sqrt{2}) }^{2}  \\  \\  = 5  - 2 \sqrt{10}  + 2 \\  \\  = 7 - 2 \sqrt{10}  \\  \\ formula \: used \\  \\ (a + b) ^{2}   = a ^{2}  + 2ab + b ^{2}

hope it helps uH

Answered by soumyapatil1234
6

Answer:

7+2√10

Step-by-step explanation:

(√5+√2)²

by using (a+b)²

a²+2ab+b²

(√5)²+2√5×√2+(√2)²

then, root and square will get cancelled

∴5+2√5×√2+2

∴5+2√10+2

∴the answer will be 7+2√10

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