find square root.....9+2√14
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Answer:
√2+√7
Step-by-step explanation:
√9+2√14
√9+2√14 =√2+ 7 + 2√14
√9+2√14 =√2+ 7 + 2√14= √(√2)^2 +(√7)^2 +2×√2 ×√7
√9+2√14 =√2+ 7 + 2√14= √(√2)^2 +(√7)^2 +2×√2 ×√7Using identity- (a^2 +b^2 + 2ab = (a+b)^2)
√9+2√14 =√2+ 7 + 2√14= √(√2)^2 +(√7)^2 +2×√2 ×√7Using identity- (a^2 +b^2 + 2ab = (a+b)^2)= √(√2+√7)^2
√9+2√14 =√2+ 7 + 2√14= √(√2)^2 +(√7)^2 +2×√2 ×√7Using identity- (a^2 +b^2 + 2ab = (a+b)^2)= √(√2+√7)^2= √2+√7
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