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Answer:
Step-by-step explanation:
Given:
√23 + √528
To prove:
√23 + √528 = 2√3 + √11
Solution:
Consider,
2√3 + √11
Squaring,
( 2√3 + √11 )^2
This is of the algebraic expression ( a + b )^2
( a + b )^2 = a^2 + 2 ( a ) ( b ) + b^2
Substituing,
We get,
( 2√3 )^2 + 2 ( 2√3 ) ( √11 ) + ( √11 )^2
4 ( 3 ) + 4 ( √3 ) ( √11 ) + 11
23 + 4√33
Here,
4 = √16
Substituting,
We get,
23 + √16 * √33
23 + √528
Taking square root on both sides,
√23+√528
Hence, √23 + √528 = 2√3 + √11
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hope its help for you dear.....
Radhe Radhe
Radhe Radhe
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