Question

(√13+√72)^2=? please solve this anwer . you will be marked as brainliest​

Answer 1

Hint: Use the algebraic identity of square the sum of the two numbers then solve the question after using/applying the identity.

i.e.

$\boxed{(a + b)^2 = (a^2 + b^2 + 2ab)}$

Given expression,

$\longrightarrow (\sqrt{13} + \sqrt{72})^2$

We need to solve the expression using a suitable algebraic identity.

Solution:

We can see that the expression is in form of $(a + b)^2$. So using the identity of square the sum of the two numbers, we get the following results:

$\implies (\sqrt{13} + \sqrt{72})^2$

$\implies {\big(\sqrt{13}}\big)^{2} + {\big(\sqrt{72}}\big)^{2} + 2\big(\sqrt{13}\big)\big(\sqrt{72}\big)$

$\implies 13 + 72 + 2\big(\sqrt{13}\big)\big(\sqrt{72}\big)$

$\implies 85 + 2 \times 6\sqrt{26}$

$\implies \boxed{85 + 12\sqrt{26}}$

Hence, the correct answer is 85 + 12√26.

$\rule{300}{2}$

Similar question:

Let's solve another interesting question involving square of the sum of two binomials.

Question:

Evaluate $105^2$ using suitable identity.

Evaluation:

$105^2$

The equation can be re-written as,

$\implies (100 + 5)^2$

We can see that the equation is in form of $(a + b)^2$. So using the identity of square the sum of the two numbers, we get the following results:

$\implies (100)^2 + (5)^2 + 2(100)(5)$

$\implies 10000 + 25 + 2(100)(5)$

$\implies 10000 + 25 + 1000$

$\implies 11025$

Therefore the correct answer is 11025.

Answer 2

Answer:

• Solution in attachment:)

$\underline{\textbf{More Identities To Know :-}}$

➫ $\large\sf{ (a-b)^2 = a^2 - b^2 + 2ab}$

➫ $\large\sf{ (a-b) (a+b) = a^2 - b^2 }$

➫ $\large\sf{ (x+a) (x+b) = x^2 + (a+b)x + ab}$