Question

find the value of (√5 +√2)² is what



please help me

Answer 1

Answer

7+2√10

Step by step explanation

=(√5)^2 + (√2) ^2 + 2× √5×√2

= 5+2+2√10

=7+2√10

Answer 2

(√5 + √2)² = 7 + 2√10

Given :

The expression (√5 + √2)²

To find :

To simplify the expression

Formula :

(a + b)² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(√5 + √2)²

Step 2 of 2 :

Find the value of the expression

We use the formula (a + b)² = a² + 2ab + b²

Thus we get

$\displaystyle \sf{ {( \sqrt{5} + \sqrt{2} )}^{2} }$

$\displaystyle \sf{ = {( \sqrt{5} )}^{2} + 2 \times \sqrt{5} \times \sqrt{2} + {( \sqrt{2} )}^{2} }$

$\displaystyle \sf{ = 5 + 2 \sqrt{10} + 2 }$

$\displaystyle \sf{ = 7 + 2 \sqrt{10} }$

Hence (√5 + √2)² = 7 + 2√10

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