Question

solve : (5+ root2)²
plz answer me
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Answer 1

Answer:

step 1 =apply formula of (a+b) ^2=a^2+b^2+2ab

step 2=25 +2+2×5×√2

step3=27+10√2

Answer 2

Question

Solve -: (5 + √2)²

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Answer

For the following question, we will have to use the algebraic identity -:

(a + b)² = a² + 2ab + b²

⇒ (5 + √2)²

⇒ (5)² + 2(5)(√2) + (√2)²

⇒ 25 + 10√2 + 2

⇒ 27 + 10√2

∴ (5 + √2)² = 27 + 10√2

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Additional Information

Algebraic Identities →

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• (a + b)(a - b) = a² - b²
• (x + a)(x + b) = x² + (a + b)x + ab

Rational Number → Numbers that can be represented in the p/q form where q≠0 are known as rational numbers. All fractions, natural numbers, whole numbers, and integers are rational numbers. Terminating or non-terminating and recurring decimals are rational.

Irrational Number → Numbers that can't be represented in p/q form and roots that can't be simplified are known as irrational numbers. Non-terminating and non-recurring decimals are irrational.

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