sqrt(2\sqrt{7x+8)}=sqrt(2x+4)

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√2√7x+8=√2x+4

Solution

x=4, x=−1

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√2√7x+8=√2x+4

Remove square roots

28x+32=4x²+16x+16

Solve 28x+32=4x²+16x+16: x=4, x=−1

x=4, x=−1

Verify Solutions: x=4 True, x=−1 True

The solutions are

x=4, x=−1

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

sqrt(2\sqrt{7x+8)}=sqrt(2x+4)

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